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Finding the Third Proportional to 766.31 and 1,157.91

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Solution

The third proportional to 766.31 and 1,157.91 is: 1,749.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    766.31 : 1,157.91 = 1,157.91 : x
  2. Step 2: Convert to fraction form
    766.31/1,157.91 = 1,157.91/x
  3. Step 3: Cross multiply
    766.31x = 1,157.91 × 1,157.91
  4. Step 4: Simplify right side
    766.31x = 1,340,746.88
  5. Step 5: Solve for x
    x = 1,340,746.88/766.31
  6. Step 6: Final answer
    x = 1,749.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.