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Finding the Third Proportional to 59,420 and 129,086

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Solution

The third proportional to 59,420 and 129,086 is: 280,430.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,420 : 129,086 = 129,086 : x
  2. Step 2: Convert to fraction form
    59,420/129,086 = 129,086/x
  3. Step 3: Cross multiply
    59,420x = 129,086 × 129,086
  4. Step 4: Simplify right side
    59,420x = 16,663,195,396
  5. Step 5: Solve for x
    x = 16,663,195,396/59,420
  6. Step 6: Final answer
    x = 280,430.75

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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.