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Finding the Third Proportional to 142.50 and 387.75

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Solution

The third proportional to 142.50 and 387.75 is: 1,055.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.50 : 387.75 = 387.75 : x
  2. Step 2: Convert to fraction form
    142.50/387.75 = 387.75/x
  3. Step 3: Cross multiply
    142.50x = 387.75 × 387.75
  4. Step 4: Simplify right side
    142.50x = 150,350.06
  5. Step 5: Solve for x
    x = 150,350.06/142.50
  6. Step 6: Final answer
    x = 1,055.09

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.