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Finding the Third Proportional to 693.84 and 822.09

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Solution

The third proportional to 693.84 and 822.09 is: 974.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.84 : 822.09 = 822.09 : x
  2. Step 2: Convert to fraction form
    693.84/822.09 = 822.09/x
  3. Step 3: Cross multiply
    693.84x = 822.09 × 822.09
  4. Step 4: Simplify right side
    693.84x = 675,838.13
  5. Step 5: Solve for x
    x = 675,838.13/693.84
  6. Step 6: Final answer
    x = 974.05

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.