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Finding the Third Proportional to 816.19 and 1,281.09

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Solution

The third proportional to 816.19 and 1,281.09 is: 2,010.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.19 : 1,281.09 = 1,281.09 : x
  2. Step 2: Convert to fraction form
    816.19/1,281.09 = 1,281.09/x
  3. Step 3: Cross multiply
    816.19x = 1,281.09 × 1,281.09
  4. Step 4: Simplify right side
    816.19x = 1,641,201.20
  5. Step 5: Solve for x
    x = 1,641,201.20/816.19
  6. Step 6: Final answer
    x = 2,010.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.