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Finding the Third Proportional to 143,521.88 and 200,778.75

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Solution

The third proportional to 143,521.88 and 200,778.75 is: 280,877.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,521.88 : 200,778.75 = 200,778.75 : x
  2. Step 2: Convert to fraction form
    143,521.88/200,778.75 = 200,778.75/x
  3. Step 3: Cross multiply
    143,521.88x = 200,778.75 × 200,778.75
  4. Step 4: Simplify right side
    143,521.88x = 40,312,106,451.56
  5. Step 5: Solve for x
    x = 40,312,106,451.56/143,521.88
  6. Step 6: Final answer
    x = 280,877.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.