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Finding the Third Proportional to 321.75 and 532.13

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Solution

The third proportional to 321.75 and 532.13 is: 880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.75 : 532.13 = 532.13 : x
  2. Step 2: Convert to fraction form
    321.75/532.13 = 532.13/x
  3. Step 3: Cross multiply
    321.75x = 532.13 × 532.13
  4. Step 4: Simplify right side
    321.75x = 283,157.02
  5. Step 5: Solve for x
    x = 283,157.02/321.75
  6. Step 6: Final answer
    x = 880.05

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.