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Finding the Third Proportional to 400.15 and 868.64

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Solution

The third proportional to 400.15 and 868.64 is: 1,885.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.15 : 868.64 = 868.64 : x
  2. Step 2: Convert to fraction form
    400.15/868.64 = 868.64/x
  3. Step 3: Cross multiply
    400.15x = 868.64 × 868.64
  4. Step 4: Simplify right side
    400.15x = 754,536.54
  5. Step 5: Solve for x
    x = 754,536.54/400.15
  6. Step 6: Final answer
    x = 1,885.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.