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Finding the Third Proportional to 59,421 and 129,088

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Solution

The third proportional to 59,421 and 129,088 is: 280,434.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,421 : 129,088 = 129,088 : x
  2. Step 2: Convert to fraction form
    59,421/129,088 = 129,088/x
  3. Step 3: Cross multiply
    59,421x = 129,088 × 129,088
  4. Step 4: Simplify right side
    59,421x = 16,663,711,744
  5. Step 5: Solve for x
    x = 16,663,711,744/59,421
  6. Step 6: Final answer
    x = 280,434.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.