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Finding the Third Proportional to 414.56 and 910.13

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Solution

The third proportional to 414.56 and 910.13 is: 1,998.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.56 : 910.13 = 910.13 : x
  2. Step 2: Convert to fraction form
    414.56/910.13 = 910.13/x
  3. Step 3: Cross multiply
    414.56x = 910.13 × 910.13
  4. Step 4: Simplify right side
    414.56x = 828,327.52
  5. Step 5: Solve for x
    x = 828,327.52/414.56
  6. Step 6: Final answer
    x = 1,998.08

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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.