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Finding the Third Proportional to 278.16 and 451.03

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Solution

The third proportional to 278.16 and 451.03 is: 731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.16 : 451.03 = 451.03 : x
  2. Step 2: Convert to fraction form
    278.16/451.03 = 451.03/x
  3. Step 3: Cross multiply
    278.16x = 451.03 × 451.03
  4. Step 4: Simplify right side
    278.16x = 203,429.19
  5. Step 5: Solve for x
    x = 203,429.19/278.16
  6. Step 6: Final answer
    x = 731.35

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.