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Finding the Third Proportional to 40,442 and 87,460

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Solution

The third proportional to 40,442 and 87,460 is: 189,141.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,442 : 87,460 = 87,460 : x
  2. Step 2: Convert to fraction form
    40,442/87,460 = 87,460/x
  3. Step 3: Cross multiply
    40,442x = 87,460 × 87,460
  4. Step 4: Simplify right side
    40,442x = 7,649,251,600
  5. Step 5: Solve for x
    x = 7,649,251,600/40,442
  6. Step 6: Final answer
    x = 189,141.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.