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Finding the Third Proportional to 61,126 and 129,612

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Solution

The third proportional to 61,126 and 129,612 is: 274,830.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,126 : 129,612 = 129,612 : x
  2. Step 2: Convert to fraction form
    61,126/129,612 = 129,612/x
  3. Step 3: Cross multiply
    61,126x = 129,612 × 129,612
  4. Step 4: Simplify right side
    61,126x = 16,799,270,544
  5. Step 5: Solve for x
    x = 16,799,270,544/61,126
  6. Step 6: Final answer
    x = 274,830.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.