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Finding the Third Proportional to 121,808 and 182,134

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Solution

The third proportional to 121,808 and 182,134 is: 272,336.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,808 : 182,134 = 182,134 : x
  2. Step 2: Convert to fraction form
    121,808/182,134 = 182,134/x
  3. Step 3: Cross multiply
    121,808x = 182,134 × 182,134
  4. Step 4: Simplify right side
    121,808x = 33,172,793,956
  5. Step 5: Solve for x
    x = 33,172,793,956/121,808
  6. Step 6: Final answer
    x = 272,336.74

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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.