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Finding the Third Proportional to 142,432.50 and 225,540.75

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Solution

The third proportional to 142,432.50 and 225,540.75 is: 357,142.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,432.50 : 225,540.75 = 225,540.75 : x
  2. Step 2: Convert to fraction form
    142,432.50/225,540.75 = 225,540.75/x
  3. Step 3: Cross multiply
    142,432.50x = 225,540.75 × 225,540.75
  4. Step 4: Simplify right side
    142,432.50x = 50,868,629,910.56
  5. Step 5: Solve for x
    x = 50,868,629,910.56/142,432.50
  6. Step 6: Final answer
    x = 357,142.01

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.