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Finding the Third Proportional to 326.53 and 486

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Solution

The third proportional to 326.53 and 486 is: 723.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    326.53 : 486 = 486 : x
  2. Step 2: Convert to fraction form
    326.53/486 = 486/x
  3. Step 3: Cross multiply
    326.53x = 486 × 486
  4. Step 4: Simplify right side
    326.53x = 236,196
  5. Step 5: Solve for x
    x = 236,196/326.53
  6. Step 6: Final answer
    x = 723.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.