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Finding the Third Proportional to 634.92 and 822.45

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Solution

The third proportional to 634.92 and 822.45 is: 1,065.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.92 : 822.45 = 822.45 : x
  2. Step 2: Convert to fraction form
    634.92/822.45 = 822.45/x
  3. Step 3: Cross multiply
    634.92x = 822.45 × 822.45
  4. Step 4: Simplify right side
    634.92x = 676,416.29
  5. Step 5: Solve for x
    x = 676,416.29/634.92
  6. Step 6: Final answer
    x = 1,065.35

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.