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Finding the Third Proportional to 38,578 and 84,542

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Solution

The third proportional to 38,578 and 84,542 is: 185,270.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,578 : 84,542 = 84,542 : x
  2. Step 2: Convert to fraction form
    38,578/84,542 = 84,542/x
  3. Step 3: Cross multiply
    38,578x = 84,542 × 84,542
  4. Step 4: Simplify right side
    38,578x = 7,147,349,764
  5. Step 5: Solve for x
    x = 7,147,349,764/38,578
  6. Step 6: Final answer
    x = 185,270.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.