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Finding the Third Proportional to 142,792.88 and 218,760.75

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Solution

The third proportional to 142,792.88 and 218,760.75 is: 335,144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,792.88 : 218,760.75 = 218,760.75 : x
  2. Step 2: Convert to fraction form
    142,792.88/218,760.75 = 218,760.75/x
  3. Step 3: Cross multiply
    142,792.88x = 218,760.75 × 218,760.75
  4. Step 4: Simplify right side
    142,792.88x = 47,856,265,740.56
  5. Step 5: Solve for x
    x = 47,856,265,740.56/142,792.88
  6. Step 6: Final answer
    x = 335,144.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.