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Finding the Third Proportional to 547.31 and 630.84

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Solution

The third proportional to 547.31 and 630.84 is: 727.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.31 : 630.84 = 630.84 : x
  2. Step 2: Convert to fraction form
    547.31/630.84 = 630.84/x
  3. Step 3: Cross multiply
    547.31x = 630.84 × 630.84
  4. Step 4: Simplify right side
    547.31x = 397,963.84
  5. Step 5: Solve for x
    x = 397,963.84/547.31
  6. Step 6: Final answer
    x = 727.12

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.