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Finding the Third Proportional to 122.13 and 288.04

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Solution

The third proportional to 122.13 and 288.04 is: 679.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.13 : 288.04 = 288.04 : x
  2. Step 2: Convert to fraction form
    122.13/288.04 = 288.04/x
  3. Step 3: Cross multiply
    122.13x = 288.04 × 288.04
  4. Step 4: Simplify right side
    122.13x = 82,964.25
  5. Step 5: Solve for x
    x = 82,964.25/122.13
  6. Step 6: Final answer
    x = 679.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.