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Finding the Third Proportional to 281.86 and 614.95

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Solution

The third proportional to 281.86 and 614.95 is: 1,341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.86 : 614.95 = 614.95 : x
  2. Step 2: Convert to fraction form
    281.86/614.95 = 614.95/x
  3. Step 3: Cross multiply
    281.86x = 614.95 × 614.95
  4. Step 4: Simplify right side
    281.86x = 378,167.35
  5. Step 5: Solve for x
    x = 378,167.35/281.86
  6. Step 6: Final answer
    x = 1,341.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.