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Finding the Third Proportional to 138,024 and 213,723

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Solution

The third proportional to 138,024 and 213,723 is: 330,938.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,024 : 213,723 = 213,723 : x
  2. Step 2: Convert to fraction form
    138,024/213,723 = 213,723/x
  3. Step 3: Cross multiply
    138,024x = 213,723 × 213,723
  4. Step 4: Simplify right side
    138,024x = 45,677,520,729
  5. Step 5: Solve for x
    x = 45,677,520,729/138,024
  6. Step 6: Final answer
    x = 330,938.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.