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Finding the Third Proportional to 80,530 and 106,478

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Solution

The third proportional to 80,530 and 106,478 is: 140,786.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,530 : 106,478 = 106,478 : x
  2. Step 2: Convert to fraction form
    80,530/106,478 = 106,478/x
  3. Step 3: Cross multiply
    80,530x = 106,478 × 106,478
  4. Step 4: Simplify right side
    80,530x = 11,337,564,484
  5. Step 5: Solve for x
    x = 11,337,564,484/80,530
  6. Step 6: Final answer
    x = 140,786.84

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.