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Finding the Third Proportional to 281,013.75 and 380,923.88

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Solution

The third proportional to 281,013.75 and 380,923.88 is: 516,355.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,013.75 : 380,923.88 = 380,923.88 : x
  2. Step 2: Convert to fraction form
    281,013.75/380,923.88 = 380,923.88/x
  3. Step 3: Cross multiply
    281,013.75x = 380,923.88 × 380,923.88
  4. Step 4: Simplify right side
    281,013.75x = 145,102,998,545.02
  5. Step 5: Solve for x
    x = 145,102,998,545.02/281,013.75
  6. Step 6: Final answer
    x = 516,355.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.