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Finding the Third Proportional to 278.38 and 430.94

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Solution

The third proportional to 278.38 and 430.94 is: 667.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.38 : 430.94 = 430.94 : x
  2. Step 2: Convert to fraction form
    278.38/430.94 = 430.94/x
  3. Step 3: Cross multiply
    278.38x = 430.94 × 430.94
  4. Step 4: Simplify right side
    278.38x = 185,707.13
  5. Step 5: Solve for x
    x = 185,707.13/278.38
  6. Step 6: Final answer
    x = 667.11

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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.