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Finding the Third Proportional to 142,591.75 and 199,363.88

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Solution

The third proportional to 142,591.75 and 199,363.88 is: 278,739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,591.75 : 199,363.88 = 199,363.88 : x
  2. Step 2: Convert to fraction form
    142,591.75/199,363.88 = 199,363.88/x
  3. Step 3: Cross multiply
    142,591.75x = 199,363.88 × 199,363.88
  4. Step 4: Simplify right side
    142,591.75x = 39,745,954,655.02
  5. Step 5: Solve for x
    x = 39,745,954,655.02/142,591.75
  6. Step 6: Final answer
    x = 278,739.51

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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.