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Finding the Third Proportional to 309,139,638.75 and 666,705,471.75

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Solution

The third proportional to 309,139,638.75 and 666,705,471.75 is: 1,437,849,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,139,638.75 : 666,705,471.75 = 666,705,471.75 : x
  2. Step 2: Convert to fraction form
    309,139,638.75/666,705,471.75 = 666,705,471.75/x
  3. Step 3: Cross multiply
    309,139,638.75x = 666,705,471.75 × 666,705,471.75
  4. Step 4: Simplify right side
    309,139,638.75x = 444,496,186,061,390,080
  5. Step 5: Solve for x
    x = 444,496,186,061,390,080/309,139,638.75
  6. Step 6: Final answer
    x = 1,437,849,212.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.