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Finding the Third Proportional to 49,578 and 79,812

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Solution

The third proportional to 49,578 and 79,812 is: 128,483.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,578 : 79,812 = 79,812 : x
  2. Step 2: Convert to fraction form
    49,578/79,812 = 79,812/x
  3. Step 3: Cross multiply
    49,578x = 79,812 × 79,812
  4. Step 4: Simplify right side
    49,578x = 6,369,955,344
  5. Step 5: Solve for x
    x = 6,369,955,344/49,578
  6. Step 6: Final answer
    x = 128,483.51

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.