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Finding the Third Proportional to 61,520 and 133,840

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Solution

The third proportional to 61,520 and 133,840 is: 291,175.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,520 : 133,840 = 133,840 : x
  2. Step 2: Convert to fraction form
    61,520/133,840 = 133,840/x
  3. Step 3: Cross multiply
    61,520x = 133,840 × 133,840
  4. Step 4: Simplify right side
    61,520x = 17,913,145,600
  5. Step 5: Solve for x
    x = 17,913,145,600/61,520
  6. Step 6: Final answer
    x = 291,175.97

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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.