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Finding the Third Proportional to 92,432 and 132,084

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Solution

The third proportional to 92,432 and 132,084 is: 188,746.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,432 : 132,084 = 132,084 : x
  2. Step 2: Convert to fraction form
    92,432/132,084 = 132,084/x
  3. Step 3: Cross multiply
    92,432x = 132,084 × 132,084
  4. Step 4: Simplify right side
    92,432x = 17,446,183,056
  5. Step 5: Solve for x
    x = 17,446,183,056/92,432
  6. Step 6: Final answer
    x = 188,746.14

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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.