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Finding the Third Proportional to 80,484.75 and 109,309.13

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Solution

The third proportional to 80,484.75 and 109,309.13 is: 148,456.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,484.75 : 109,309.13 = 109,309.13 : x
  2. Step 2: Convert to fraction form
    80,484.75/109,309.13 = 109,309.13/x
  3. Step 3: Cross multiply
    80,484.75x = 109,309.13 × 109,309.13
  4. Step 4: Simplify right side
    80,484.75x = 11,948,484,808.27
  5. Step 5: Solve for x
    x = 11,948,484,808.27/80,484.75
  6. Step 6: Final answer
    x = 148,456.51

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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.