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Finding the Third Proportional to 439,634,646 and 680,111,775

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Solution

The third proportional to 439,634,646 and 680,111,775 is: 1,052,128,240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,634,646 : 680,111,775 = 680,111,775 : x
  2. Step 2: Convert to fraction form
    439,634,646/680,111,775 = 680,111,775/x
  3. Step 3: Cross multiply
    439,634,646x = 680,111,775 × 680,111,775
  4. Step 4: Simplify right side
    439,634,646x = 462,552,026,493,650,624
  5. Step 5: Solve for x
    x = 462,552,026,493,650,624/439,634,646
  6. Step 6: Final answer
    x = 1,052,128,240.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.