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Finding the Third Proportional to 80,478.56 and 109,296.84

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Solution

The third proportional to 80,478.56 and 109,296.84 is: 148,434.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,478.56 : 109,296.84 = 109,296.84 : x
  2. Step 2: Convert to fraction form
    80,478.56/109,296.84 = 109,296.84/x
  3. Step 3: Cross multiply
    80,478.56x = 109,296.84 × 109,296.84
  4. Step 4: Simplify right side
    80,478.56x = 11,945,800,053.71
  5. Step 5: Solve for x
    x = 11,945,800,053.71/80,478.56
  6. Step 6: Final answer
    x = 148,434.56

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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.