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Finding the Third Proportional to 398.18 and 615.02

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Solution

The third proportional to 398.18 and 615.02 is: 949.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.18 : 615.02 = 615.02 : x
  2. Step 2: Convert to fraction form
    398.18/615.02 = 615.02/x
  3. Step 3: Cross multiply
    398.18x = 615.02 × 615.02
  4. Step 4: Simplify right side
    398.18x = 378,253.83
  5. Step 5: Solve for x
    x = 378,253.83/398.18
  6. Step 6: Final answer
    x = 949.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.