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Finding the Third Proportional to 61,566 and 133,915

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Solution

The third proportional to 61,566 and 133,915 is: 291,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,566 : 133,915 = 133,915 : x
  2. Step 2: Convert to fraction form
    61,566/133,915 = 133,915/x
  3. Step 3: Cross multiply
    61,566x = 133,915 × 133,915
  4. Step 4: Simplify right side
    61,566x = 17,933,227,225
  5. Step 5: Solve for x
    x = 17,933,227,225/61,566
  6. Step 6: Final answer
    x = 291,284.59

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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.