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Finding the Third Proportional to 814.90 and 1,226.15

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Solution

The third proportional to 814.90 and 1,226.15 is: 1,844.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    814.90 : 1,226.15 = 1,226.15 : x
  2. Step 2: Convert to fraction form
    814.90/1,226.15 = 1,226.15/x
  3. Step 3: Cross multiply
    814.90x = 1,226.15 × 1,226.15
  4. Step 4: Simplify right side
    814.90x = 1,503,451.96
  5. Step 5: Solve for x
    x = 1,503,451.96/814.90
  6. Step 6: Final answer
    x = 1,844.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.