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Finding the Third Proportional to 268.31 and 415.97

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Solution

The third proportional to 268.31 and 415.97 is: 644.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.31 : 415.97 = 415.97 : x
  2. Step 2: Convert to fraction form
    268.31/415.97 = 415.97/x
  3. Step 3: Cross multiply
    268.31x = 415.97 × 415.97
  4. Step 4: Simplify right side
    268.31x = 173,030.00
  5. Step 5: Solve for x
    x = 173,030.00/268.31
  6. Step 6: Final answer
    x = 644.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.