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Finding the Third Proportional to 426.47 and 898.22

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Solution

The third proportional to 426.47 and 898.22 is: 1,891.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    426.47 : 898.22 = 898.22 : x
  2. Step 2: Convert to fraction form
    426.47/898.22 = 898.22/x
  3. Step 3: Cross multiply
    426.47x = 898.22 × 898.22
  4. Step 4: Simplify right side
    426.47x = 806,796.92
  5. Step 5: Solve for x
    x = 806,796.92/426.47
  6. Step 6: Final answer
    x = 1,891.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.