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Finding the Third Proportional to 243.70 and 319.92

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Solution

The third proportional to 243.70 and 319.92 is: 419.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.70 : 319.92 = 319.92 : x
  2. Step 2: Convert to fraction form
    243.70/319.92 = 319.92/x
  3. Step 3: Cross multiply
    243.70x = 319.92 × 319.92
  4. Step 4: Simplify right side
    243.70x = 102,350.01
  5. Step 5: Solve for x
    x = 102,350.01/243.70
  6. Step 6: Final answer
    x = 419.98

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.