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Finding the Third Proportional to 59,518 and 129,720

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Solution

The third proportional to 59,518 and 129,720 is: 282,725.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,518 : 129,720 = 129,720 : x
  2. Step 2: Convert to fraction form
    59,518/129,720 = 129,720/x
  3. Step 3: Cross multiply
    59,518x = 129,720 × 129,720
  4. Step 4: Simplify right side
    59,518x = 16,827,278,400
  5. Step 5: Solve for x
    x = 16,827,278,400/59,518
  6. Step 6: Final answer
    x = 282,725.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.