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Finding the Third Proportional to 59,478 and 80,739

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Solution

The third proportional to 59,478 and 80,739 is: 109,599.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,478 : 80,739 = 80,739 : x
  2. Step 2: Convert to fraction form
    59,478/80,739 = 80,739/x
  3. Step 3: Cross multiply
    59,478x = 80,739 × 80,739
  4. Step 4: Simplify right side
    59,478x = 6,518,786,121
  5. Step 5: Solve for x
    x = 6,518,786,121/59,478
  6. Step 6: Final answer
    x = 109,599.95

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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.