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Finding the Third Proportional to 1,299.38 and 2,658.38

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Solution

The third proportional to 1,299.38 and 2,658.38 is: 5,438.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299.38 : 2,658.38 = 2,658.38 : x
  2. Step 2: Convert to fraction form
    1,299.38/2,658.38 = 2,658.38/x
  3. Step 3: Cross multiply
    1,299.38x = 2,658.38 × 2,658.38
  4. Step 4: Simplify right side
    1,299.38x = 7,066,957.64
  5. Step 5: Solve for x
    x = 7,066,957.64/1,299.38
  6. Step 6: Final answer
    x = 5,438.74

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.