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Finding the Third Proportional to 59,811 and 129,531

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Solution

The third proportional to 59,811 and 129,531 is: 280,521.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,811 : 129,531 = 129,531 : x
  2. Step 2: Convert to fraction form
    59,811/129,531 = 129,531/x
  3. Step 3: Cross multiply
    59,811x = 129,531 × 129,531
  4. Step 4: Simplify right side
    59,811x = 16,778,279,961
  5. Step 5: Solve for x
    x = 16,778,279,961/59,811
  6. Step 6: Final answer
    x = 280,521.64

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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.