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Finding the Third Proportional to 238.72 and 322.08

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Solution

The third proportional to 238.72 and 322.08 is: 434.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.72 : 322.08 = 322.08 : x
  2. Step 2: Convert to fraction form
    238.72/322.08 = 322.08/x
  3. Step 3: Cross multiply
    238.72x = 322.08 × 322.08
  4. Step 4: Simplify right side
    238.72x = 103,734.32
  5. Step 5: Solve for x
    x = 103,734.32/238.72
  6. Step 6: Final answer
    x = 434.55

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.