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Finding the Third Proportional to 89,187 and 121,479

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Solution

The third proportional to 89,187 and 121,479 is: 165,462.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,187 : 121,479 = 121,479 : x
  2. Step 2: Convert to fraction form
    89,187/121,479 = 121,479/x
  3. Step 3: Cross multiply
    89,187x = 121,479 × 121,479
  4. Step 4: Simplify right side
    89,187x = 14,757,147,441
  5. Step 5: Solve for x
    x = 14,757,147,441/89,187
  6. Step 6: Final answer
    x = 165,462.99

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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.