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Finding the Third Proportional to 59,609 and 129,470

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Solution

The third proportional to 59,609 and 129,470 is: 281,207.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,609 : 129,470 = 129,470 : x
  2. Step 2: Convert to fraction form
    59,609/129,470 = 129,470/x
  3. Step 3: Cross multiply
    59,609x = 129,470 × 129,470
  4. Step 4: Simplify right side
    59,609x = 16,762,480,900
  5. Step 5: Solve for x
    x = 16,762,480,900/59,609
  6. Step 6: Final answer
    x = 281,207.22

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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.