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Finding the Third Proportional to 61,416 and 133,758

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Solution

The third proportional to 61,416 and 133,758 is: 291,311.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,416 : 133,758 = 133,758 : x
  2. Step 2: Convert to fraction form
    61,416/133,758 = 133,758/x
  3. Step 3: Cross multiply
    61,416x = 133,758 × 133,758
  4. Step 4: Simplify right side
    61,416x = 17,891,202,564
  5. Step 5: Solve for x
    x = 17,891,202,564/61,416
  6. Step 6: Final answer
    x = 291,311.75

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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.