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Finding the Third Proportional to 826.69 and 1,281.09

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Solution

The third proportional to 826.69 and 1,281.09 is: 1,985.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    826.69 : 1,281.09 = 1,281.09 : x
  2. Step 2: Convert to fraction form
    826.69/1,281.09 = 1,281.09/x
  3. Step 3: Cross multiply
    826.69x = 1,281.09 × 1,281.09
  4. Step 4: Simplify right side
    826.69x = 1,641,201.20
  5. Step 5: Solve for x
    x = 1,641,201.20/826.69
  6. Step 6: Final answer
    x = 1,985.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.