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Finding the Third Proportional to 122.81 and 288.94

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Solution

The third proportional to 122.81 and 288.94 is: 679.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.81 : 288.94 = 288.94 : x
  2. Step 2: Convert to fraction form
    122.81/288.94 = 288.94/x
  3. Step 3: Cross multiply
    122.81x = 288.94 × 288.94
  4. Step 4: Simplify right side
    122.81x = 83,484.88
  5. Step 5: Solve for x
    x = 83,484.88/122.81
  6. Step 6: Final answer
    x = 679.78

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.