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Finding the Third Proportional to 400.13 and 627.56

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Solution

The third proportional to 400.13 and 627.56 is: 984.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.13 : 627.56 = 627.56 : x
  2. Step 2: Convert to fraction form
    400.13/627.56 = 627.56/x
  3. Step 3: Cross multiply
    400.13x = 627.56 × 627.56
  4. Step 4: Simplify right side
    400.13x = 393,834.69
  5. Step 5: Solve for x
    x = 393,834.69/400.13
  6. Step 6: Final answer
    x = 984.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.