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Finding the Third Proportional to 711.91 and 822.97

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Solution

The third proportional to 711.91 and 822.97 is: 951.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.91 : 822.97 = 822.97 : x
  2. Step 2: Convert to fraction form
    711.91/822.97 = 822.97/x
  3. Step 3: Cross multiply
    711.91x = 822.97 × 822.97
  4. Step 4: Simplify right side
    711.91x = 677,283.99
  5. Step 5: Solve for x
    x = 677,283.99/711.91
  6. Step 6: Final answer
    x = 951.36

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.