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Finding the Third Proportional to 268.31 and 417.66

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Solution

The third proportional to 268.31 and 417.66 is: 650.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.31 : 417.66 = 417.66 : x
  2. Step 2: Convert to fraction form
    268.31/417.66 = 417.66/x
  3. Step 3: Cross multiply
    268.31x = 417.66 × 417.66
  4. Step 4: Simplify right side
    268.31x = 174,436.74
  5. Step 5: Solve for x
    x = 174,436.74/268.31
  6. Step 6: Final answer
    x = 650.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.