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Finding the Third Proportional to 813.75 and 1,224.56

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Solution

The third proportional to 813.75 and 1,224.56 is: 1,842.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.75 : 1,224.56 = 1,224.56 : x
  2. Step 2: Convert to fraction form
    813.75/1,224.56 = 1,224.56/x
  3. Step 3: Cross multiply
    813.75x = 1,224.56 × 1,224.56
  4. Step 4: Simplify right side
    813.75x = 1,499,553.32
  5. Step 5: Solve for x
    x = 1,499,553.32/813.75
  6. Step 6: Final answer
    x = 1,842.77

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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.