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Finding the Third Proportional to 59,909 and 129,646

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Solution

The third proportional to 59,909 and 129,646 is: 280,560.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,909 : 129,646 = 129,646 : x
  2. Step 2: Convert to fraction form
    59,909/129,646 = 129,646/x
  3. Step 3: Cross multiply
    59,909x = 129,646 × 129,646
  4. Step 4: Simplify right side
    59,909x = 16,808,085,316
  5. Step 5: Solve for x
    x = 16,808,085,316/59,909
  6. Step 6: Final answer
    x = 280,560.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.