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Finding the Third Proportional to 91,432 and 121,320

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Solution

The third proportional to 91,432 and 121,320 is: 160,978.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,432 : 121,320 = 121,320 : x
  2. Step 2: Convert to fraction form
    91,432/121,320 = 121,320/x
  3. Step 3: Cross multiply
    91,432x = 121,320 × 121,320
  4. Step 4: Simplify right side
    91,432x = 14,718,542,400
  5. Step 5: Solve for x
    x = 14,718,542,400/91,432
  6. Step 6: Final answer
    x = 160,978.02

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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.