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Finding the Third Proportional to 132,398,640 and 205,526,448

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Solution

The third proportional to 132,398,640 and 205,526,448 is: 319,044,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,398,640 : 205,526,448 = 205,526,448 : x
  2. Step 2: Convert to fraction form
    132,398,640/205,526,448 = 205,526,448/x
  3. Step 3: Cross multiply
    132,398,640x = 205,526,448 × 205,526,448
  4. Step 4: Simplify right side
    132,398,640x = 42,241,120,827,496,704
  5. Step 5: Solve for x
    x = 42,241,120,827,496,704/132,398,640
  6. Step 6: Final answer
    x = 319,044,975.29

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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.