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Finding the Third Proportional to 762.75 and 862.88

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Solution

The third proportional to 762.75 and 862.88 is: 976.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.75 : 862.88 = 862.88 : x
  2. Step 2: Convert to fraction form
    762.75/862.88 = 862.88/x
  3. Step 3: Cross multiply
    762.75x = 862.88 × 862.88
  4. Step 4: Simplify right side
    762.75x = 744,553.27
  5. Step 5: Solve for x
    x = 744,553.27/762.75
  6. Step 6: Final answer
    x = 976.14

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.