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Finding the Third Proportional to 81,196 and 121,463

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Solution

The third proportional to 81,196 and 121,463 is: 181,699.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,196 : 121,463 = 121,463 : x
  2. Step 2: Convert to fraction form
    81,196/121,463 = 121,463/x
  3. Step 3: Cross multiply
    81,196x = 121,463 × 121,463
  4. Step 4: Simplify right side
    81,196x = 14,753,260,369
  5. Step 5: Solve for x
    x = 14,753,260,369/81,196
  6. Step 6: Final answer
    x = 181,699.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.