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Finding the Third Proportional to 89,192 and 121,485

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Solution

The third proportional to 89,192 and 121,485 is: 165,470.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,192 : 121,485 = 121,485 : x
  2. Step 2: Convert to fraction form
    89,192/121,485 = 121,485/x
  3. Step 3: Cross multiply
    89,192x = 121,485 × 121,485
  4. Step 4: Simplify right side
    89,192x = 14,758,605,225
  5. Step 5: Solve for x
    x = 14,758,605,225/89,192
  6. Step 6: Final answer
    x = 165,470.06

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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.