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Finding the Third Proportional to 88,128 and 117,472

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Solution

The third proportional to 88,128 and 117,472 is: 156,586.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,128 : 117,472 = 117,472 : x
  2. Step 2: Convert to fraction form
    88,128/117,472 = 117,472/x
  3. Step 3: Cross multiply
    88,128x = 117,472 × 117,472
  4. Step 4: Simplify right side
    88,128x = 13,799,670,784
  5. Step 5: Solve for x
    x = 13,799,670,784/88,128
  6. Step 6: Final answer
    x = 156,586.68

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.