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Finding the Third Proportional to 415.31 and 547.03

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Solution

The third proportional to 415.31 and 547.03 is: 720.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.31 : 547.03 = 547.03 : x
  2. Step 2: Convert to fraction form
    415.31/547.03 = 547.03/x
  3. Step 3: Cross multiply
    415.31x = 547.03 × 547.03
  4. Step 4: Simplify right side
    415.31x = 299,243.19
  5. Step 5: Solve for x
    x = 299,243.19/415.31
  6. Step 6: Final answer
    x = 720.53

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.