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Finding the Third Proportional to 138,620 and 220,372

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Solution

The third proportional to 138,620 and 220,372 is: 350,337.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,620 : 220,372 = 220,372 : x
  2. Step 2: Convert to fraction form
    138,620/220,372 = 220,372/x
  3. Step 3: Cross multiply
    138,620x = 220,372 × 220,372
  4. Step 4: Simplify right side
    138,620x = 48,563,818,384
  5. Step 5: Solve for x
    x = 48,563,818,384/138,620
  6. Step 6: Final answer
    x = 350,337.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.