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Finding the Third Proportional to 199.88 and 291.88

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Solution

The third proportional to 199.88 and 291.88 is: 426.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.88 : 291.88 = 291.88 : x
  2. Step 2: Convert to fraction form
    199.88/291.88 = 291.88/x
  3. Step 3: Cross multiply
    199.88x = 291.88 × 291.88
  4. Step 4: Simplify right side
    199.88x = 85,191.02
  5. Step 5: Solve for x
    x = 85,191.02/199.88
  6. Step 6: Final answer
    x = 426.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.