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Finding the Third Proportional to 323.13 and 432.88

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Solution

The third proportional to 323.13 and 432.88 is: 579.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    323.13 : 432.88 = 432.88 : x
  2. Step 2: Convert to fraction form
    323.13/432.88 = 432.88/x
  3. Step 3: Cross multiply
    323.13x = 432.88 × 432.88
  4. Step 4: Simplify right side
    323.13x = 187,380.77
  5. Step 5: Solve for x
    x = 187,380.77/323.13
  6. Step 6: Final answer
    x = 579.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.