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Finding the Third Proportional to 140,622.75 and 217,761.75

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Solution

The third proportional to 140,622.75 and 217,761.75 is: 337,215.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,622.75 : 217,761.75 = 217,761.75 : x
  2. Step 2: Convert to fraction form
    140,622.75/217,761.75 = 217,761.75/x
  3. Step 3: Cross multiply
    140,622.75x = 217,761.75 × 217,761.75
  4. Step 4: Simplify right side
    140,622.75x = 47,420,179,763.06
  5. Step 5: Solve for x
    x = 47,420,179,763.06/140,622.75
  6. Step 6: Final answer
    x = 337,215.56

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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.