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Finding the Third Proportional to 38,287 and 57,472

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Solution

The third proportional to 38,287 and 57,472 is: 86,270.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,287 : 57,472 = 57,472 : x
  2. Step 2: Convert to fraction form
    38,287/57,472 = 57,472/x
  3. Step 3: Cross multiply
    38,287x = 57,472 × 57,472
  4. Step 4: Simplify right side
    38,287x = 3,303,030,784
  5. Step 5: Solve for x
    x = 3,303,030,784/38,287
  6. Step 6: Final answer
    x = 86,270.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.