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Finding the Third Proportional to 27,987 and 42,387

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Solution

The third proportional to 27,987 and 42,387 is: 64,196.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,987 : 42,387 = 42,387 : x
  2. Step 2: Convert to fraction form
    27,987/42,387 = 42,387/x
  3. Step 3: Cross multiply
    27,987x = 42,387 × 42,387
  4. Step 4: Simplify right side
    27,987x = 1,796,657,769
  5. Step 5: Solve for x
    x = 1,796,657,769/27,987
  6. Step 6: Final answer
    x = 64,196.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.