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Finding the Third Proportional to 138,604.50 and 220,347

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Solution

The third proportional to 138,604.50 and 220,347 is: 350,297.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,604.50 : 220,347 = 220,347 : x
  2. Step 2: Convert to fraction form
    138,604.50/220,347 = 220,347/x
  3. Step 3: Cross multiply
    138,604.50x = 220,347 × 220,347
  4. Step 4: Simplify right side
    138,604.50x = 48,552,800,409
  5. Step 5: Solve for x
    x = 48,552,800,409/138,604.50
  6. Step 6: Final answer
    x = 350,297.43

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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.