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Finding the Third Proportional to 13,890 and 30,387

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Solution

The third proportional to 13,890 and 30,387 is: 66,477.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,890 : 30,387 = 30,387 : x
  2. Step 2: Convert to fraction form
    13,890/30,387 = 30,387/x
  3. Step 3: Cross multiply
    13,890x = 30,387 × 30,387
  4. Step 4: Simplify right side
    13,890x = 923,369,769
  5. Step 5: Solve for x
    x = 923,369,769/13,890
  6. Step 6: Final answer
    x = 66,477.31

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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.