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Finding the Third Proportional to 414.13 and 902.38

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Solution

The third proportional to 414.13 and 902.38 is: 1,966.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.13 : 902.38 = 902.38 : x
  2. Step 2: Convert to fraction form
    414.13/902.38 = 902.38/x
  3. Step 3: Cross multiply
    414.13x = 902.38 × 902.38
  4. Step 4: Simplify right side
    414.13x = 814,280.64
  5. Step 5: Solve for x
    x = 814,280.64/414.13
  6. Step 6: Final answer
    x = 1,966.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.