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Finding the Third Proportional to 400.68 and 880.14

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Solution

The third proportional to 400.68 and 880.14 is: 1,933.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.68 : 880.14 = 880.14 : x
  2. Step 2: Convert to fraction form
    400.68/880.14 = 880.14/x
  3. Step 3: Cross multiply
    400.68x = 880.14 × 880.14
  4. Step 4: Simplify right side
    400.68x = 774,640.64
  5. Step 5: Solve for x
    x = 774,640.64/400.68
  6. Step 6: Final answer
    x = 1,933.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.