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Finding the Third Proportional to 80,258 and 119,231

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Solution

The third proportional to 80,258 and 119,231 is: 177,129.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,258 : 119,231 = 119,231 : x
  2. Step 2: Convert to fraction form
    80,258/119,231 = 119,231/x
  3. Step 3: Cross multiply
    80,258x = 119,231 × 119,231
  4. Step 4: Simplify right side
    80,258x = 14,216,031,361
  5. Step 5: Solve for x
    x = 14,216,031,361/80,258
  6. Step 6: Final answer
    x = 177,129.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.