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Finding the Third Proportional to 772.31 and 1,155.09

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Solution

The third proportional to 772.31 and 1,155.09 is: 1,727.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.31 : 1,155.09 = 1,155.09 : x
  2. Step 2: Convert to fraction form
    772.31/1,155.09 = 1,155.09/x
  3. Step 3: Cross multiply
    772.31x = 1,155.09 × 1,155.09
  4. Step 4: Simplify right side
    772.31x = 1,334,241.57
  5. Step 5: Solve for x
    x = 1,334,241.57/772.31
  6. Step 6: Final answer
    x = 1,727.59

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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.