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Finding the Third Proportional to 199.50 and 291.31

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Solution

The third proportional to 199.50 and 291.31 is: 425.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.50 : 291.31 = 291.31 : x
  2. Step 2: Convert to fraction form
    199.50/291.31 = 291.31/x
  3. Step 3: Cross multiply
    199.50x = 291.31 × 291.31
  4. Step 4: Simplify right side
    199.50x = 84,862.97
  5. Step 5: Solve for x
    x = 84,862.97/199.50
  6. Step 6: Final answer
    x = 425.38

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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.