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Finding the Third Proportional to 320,790,081,852 and 679,825,830,102.45

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Solution

The third proportional to 320,790,081,852 and 679,825,830,102.45 is: 1,440,702,769,257.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,790,081,852 : 679,825,830,102.45 = 679,825,830,102.45 : x
  2. Step 2: Convert to fraction form
    320,790,081,852/679,825,830,102.45 = 679,825,830,102.45/x
  3. Step 3: Cross multiply
    320,790,081,852x = 679,825,830,102.45 × 679,825,830,102.45
  4. Step 4: Simplify right side
    320,790,081,852x = 462,163,159,274,485,173,977,088
  5. Step 5: Solve for x
    x = 462,163,159,274,485,173,977,088/320,790,081,852
  6. Step 6: Final answer
    x = 1,440,702,769,257.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.