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Finding the Third Proportional to 268.03 and 387.09

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Solution

The third proportional to 268.03 and 387.09 is: 559.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.03 : 387.09 = 387.09 : x
  2. Step 2: Convert to fraction form
    268.03/387.09 = 387.09/x
  3. Step 3: Cross multiply
    268.03x = 387.09 × 387.09
  4. Step 4: Simplify right side
    268.03x = 149,841.57
  5. Step 5: Solve for x
    x = 149,841.57/268.03
  6. Step 6: Final answer
    x = 559.05

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.