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Finding the Third Proportional to 143,687.25 and 217,520.44

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Solution

The third proportional to 143,687.25 and 217,520.44 is: 329,292.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,687.25 : 217,520.44 = 217,520.44 : x
  2. Step 2: Convert to fraction form
    143,687.25/217,520.44 = 217,520.44/x
  3. Step 3: Cross multiply
    143,687.25x = 217,520.44 × 217,520.44
  4. Step 4: Simplify right side
    143,687.25x = 47,315,140,730.19
  5. Step 5: Solve for x
    x = 47,315,140,730.19/143,687.25
  6. Step 6: Final answer
    x = 329,292.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.