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Finding the Third Proportional to 61,319 and 133,695

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Solution

The third proportional to 61,319 and 133,695 is: 291,497.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,319 : 133,695 = 133,695 : x
  2. Step 2: Convert to fraction form
    61,319/133,695 = 133,695/x
  3. Step 3: Cross multiply
    61,319x = 133,695 × 133,695
  4. Step 4: Simplify right side
    61,319x = 17,874,353,025
  5. Step 5: Solve for x
    x = 17,874,353,025/61,319
  6. Step 6: Final answer
    x = 291,497.79

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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.