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Finding the Third Proportional to 48,901.50 and 80,910

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Solution

The third proportional to 48,901.50 and 80,910 is: 133,869.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,901.50 : 80,910 = 80,910 : x
  2. Step 2: Convert to fraction form
    48,901.50/80,910 = 80,910/x
  3. Step 3: Cross multiply
    48,901.50x = 80,910 × 80,910
  4. Step 4: Simplify right side
    48,901.50x = 6,546,428,100
  5. Step 5: Solve for x
    x = 6,546,428,100/48,901.50
  6. Step 6: Final answer
    x = 133,869.68

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.