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Finding the Third Proportional to 40,276 and 87,472

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Solution

The third proportional to 40,276 and 87,472 is: 189,972.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,276 : 87,472 = 87,472 : x
  2. Step 2: Convert to fraction form
    40,276/87,472 = 87,472/x
  3. Step 3: Cross multiply
    40,276x = 87,472 × 87,472
  4. Step 4: Simplify right side
    40,276x = 7,651,350,784
  5. Step 5: Solve for x
    x = 7,651,350,784/40,276
  6. Step 6: Final answer
    x = 189,972.96

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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.