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Finding the Third Proportional to 772.31 and 866.81

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Solution

The third proportional to 772.31 and 866.81 is: 972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    772.31 : 866.81 = 866.81 : x
  2. Step 2: Convert to fraction form
    772.31/866.81 = 866.81/x
  3. Step 3: Cross multiply
    772.31x = 866.81 × 866.81
  4. Step 4: Simplify right side
    772.31x = 751,363.91
  5. Step 5: Solve for x
    x = 751,363.91/772.31
  6. Step 6: Final answer
    x = 972.88

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.