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Finding the Third Proportional to 38,578 and 51,443

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Solution

The third proportional to 38,578 and 51,443 is: 68,598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,578 : 51,443 = 51,443 : x
  2. Step 2: Convert to fraction form
    38,578/51,443 = 51,443/x
  3. Step 3: Cross multiply
    38,578x = 51,443 × 51,443
  4. Step 4: Simplify right side
    38,578x = 2,646,382,249
  5. Step 5: Solve for x
    x = 2,646,382,249/38,578
  6. Step 6: Final answer
    x = 68,598.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.