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Finding the Third Proportional to 322.13 and 468.19

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Solution

The third proportional to 322.13 and 468.19 is: 680.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.13 : 468.19 = 468.19 : x
  2. Step 2: Convert to fraction form
    322.13/468.19 = 468.19/x
  3. Step 3: Cross multiply
    322.13x = 468.19 × 468.19
  4. Step 4: Simplify right side
    322.13x = 219,199.54
  5. Step 5: Solve for x
    x = 219,199.54/322.13
  6. Step 6: Final answer
    x = 680.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.