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Finding the Third Proportional to 61,531 and 133,733

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Solution

The third proportional to 61,531 and 133,733 is: 290,658.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,531 : 133,733 = 133,733 : x
  2. Step 2: Convert to fraction form
    61,531/133,733 = 133,733/x
  3. Step 3: Cross multiply
    61,531x = 133,733 × 133,733
  4. Step 4: Simplify right side
    61,531x = 17,884,515,289
  5. Step 5: Solve for x
    x = 17,884,515,289/61,531
  6. Step 6: Final answer
    x = 290,658.62

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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.