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Finding the Third Proportional to 439,634,650 and 680,111,781

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Solution

The third proportional to 439,634,650 and 680,111,781 is: 1,052,128,249.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,634,650 : 680,111,781 = 680,111,781 : x
  2. Step 2: Convert to fraction form
    439,634,650/680,111,781 = 680,111,781/x
  3. Step 3: Cross multiply
    439,634,650x = 680,111,781 × 680,111,781
  4. Step 4: Simplify right side
    439,634,650x = 462,552,034,654,991,936
  5. Step 5: Solve for x
    x = 462,552,034,654,991,936/439,634,650
  6. Step 6: Final answer
    x = 1,052,128,249.34

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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.