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Finding the Third Proportional to 89,376 and 121,716

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Solution

The third proportional to 89,376 and 121,716 is: 165,757.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,376 : 121,716 = 121,716 : x
  2. Step 2: Convert to fraction form
    89,376/121,716 = 121,716/x
  3. Step 3: Cross multiply
    89,376x = 121,716 × 121,716
  4. Step 4: Simplify right side
    89,376x = 14,814,784,656
  5. Step 5: Solve for x
    x = 14,814,784,656/89,376
  6. Step 6: Final answer
    x = 165,757.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.