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Finding the Third Proportional to 323.86 and 691.45

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Solution

The third proportional to 323.86 and 691.45 is: 1,476.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.86 : 691.45 = 691.45 : x
  2. Step 2: Convert to fraction form
    323.86/691.45 = 691.45/x
  3. Step 3: Cross multiply
    323.86x = 691.45 × 691.45
  4. Step 4: Simplify right side
    323.86x = 478,107.42
  5. Step 5: Solve for x
    x = 478,107.42/323.86
  6. Step 6: Final answer
    x = 1,476.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.