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Finding the Third Proportional to 398.95 and 615.59

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Solution

The third proportional to 398.95 and 615.59 is: 949.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.95 : 615.59 = 615.59 : x
  2. Step 2: Convert to fraction form
    398.95/615.59 = 615.59/x
  3. Step 3: Cross multiply
    398.95x = 615.59 × 615.59
  4. Step 4: Simplify right side
    398.95x = 378,946.05
  5. Step 5: Solve for x
    x = 378,946.05/398.95
  6. Step 6: Final answer
    x = 949.85

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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.