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Finding the Third Proportional to 83,355 and 129,264

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Solution

The third proportional to 83,355 and 129,264 is: 200,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,355 : 129,264 = 129,264 : x
  2. Step 2: Convert to fraction form
    83,355/129,264 = 129,264/x
  3. Step 3: Cross multiply
    83,355x = 129,264 × 129,264
  4. Step 4: Simplify right side
    83,355x = 16,709,181,696
  5. Step 5: Solve for x
    x = 16,709,181,696/83,355
  6. Step 6: Final answer
    x = 200,458.06

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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.