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Finding the Third Proportional to 268.13 and 405.38

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Solution

The third proportional to 268.13 and 405.38 is: 612.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.13 : 405.38 = 405.38 : x
  2. Step 2: Convert to fraction form
    268.13/405.38 = 405.38/x
  3. Step 3: Cross multiply
    268.13x = 405.38 × 405.38
  4. Step 4: Simplify right side
    268.13x = 164,328.89
  5. Step 5: Solve for x
    x = 164,328.89/268.13
  6. Step 6: Final answer
    x = 612.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.