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Finding the Third Proportional to 387,894,683.25 and 861,882,798.38

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Solution

The third proportional to 387,894,683.25 and 861,882,798.38 is: 1,915,060,943.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,894,683.25 : 861,882,798.38 = 861,882,798.38 : x
  2. Step 2: Convert to fraction form
    387,894,683.25/861,882,798.38 = 861,882,798.38/x
  3. Step 3: Cross multiply
    387,894,683.25x = 861,882,798.38 × 861,882,798.38
  4. Step 4: Simplify right side
    387,894,683.25x = 742,841,958,134,720,896
  5. Step 5: Solve for x
    x = 742,841,958,134,720,896/387,894,683.25
  6. Step 6: Final answer
    x = 1,915,060,943.63

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.