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Finding the Third Proportional to 415 and 615.50

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Solution

The third proportional to 415 and 615.50 is: 912.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    415 : 615.50 = 615.50 : x
  2. Step 2: Convert to fraction form
    415/615.50 = 615.50/x
  3. Step 3: Cross multiply
    415x = 615.50 × 615.50
  4. Step 4: Simplify right side
    415x = 378,840.25
  5. Step 5: Solve for x
    x = 378,840.25/415
  6. Step 6: Final answer
    x = 912.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.