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Finding the Third Proportional to 59,810 and 129,529

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Solution

The third proportional to 59,810 and 129,529 is: 280,517.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,810 : 129,529 = 129,529 : x
  2. Step 2: Convert to fraction form
    59,810/129,529 = 129,529/x
  3. Step 3: Cross multiply
    59,810x = 129,529 × 129,529
  4. Step 4: Simplify right side
    59,810x = 16,777,761,841
  5. Step 5: Solve for x
    x = 16,777,761,841/59,810
  6. Step 6: Final answer
    x = 280,517.67

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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.