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Finding the Third Proportional to 287.53 and 615.47

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Solution

The third proportional to 287.53 and 615.47 is: 1,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.53 : 615.47 = 615.47 : x
  2. Step 2: Convert to fraction form
    287.53/615.47 = 615.47/x
  3. Step 3: Cross multiply
    287.53x = 615.47 × 615.47
  4. Step 4: Simplify right side
    287.53x = 378,801.78
  5. Step 5: Solve for x
    x = 378,801.78/287.53
  6. Step 6: Final answer
    x = 1,317.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.