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Finding the Third Proportional to 92,288 and 131,972

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Solution

The third proportional to 92,288 and 131,972 is: 188,720.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,288 : 131,972 = 131,972 : x
  2. Step 2: Convert to fraction form
    92,288/131,972 = 131,972/x
  3. Step 3: Cross multiply
    92,288x = 131,972 × 131,972
  4. Step 4: Simplify right side
    92,288x = 17,416,608,784
  5. Step 5: Solve for x
    x = 17,416,608,784/92,288
  6. Step 6: Final answer
    x = 188,720.19

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.