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Finding the Third Proportional to 14,982 and 21,387

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Solution

The third proportional to 14,982 and 21,387 is: 30,530.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,982 : 21,387 = 21,387 : x
  2. Step 2: Convert to fraction form
    14,982/21,387 = 21,387/x
  3. Step 3: Cross multiply
    14,982x = 21,387 × 21,387
  4. Step 4: Simplify right side
    14,982x = 457,403,769
  5. Step 5: Solve for x
    x = 457,403,769/14,982
  6. Step 6: Final answer
    x = 30,530.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.