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Finding the Third Proportional to 821.39 and 1,795.92

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Solution

The third proportional to 821.39 and 1,795.92 is: 3,926.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.39 : 1,795.92 = 1,795.92 : x
  2. Step 2: Convert to fraction form
    821.39/1,795.92 = 1,795.92/x
  3. Step 3: Cross multiply
    821.39x = 1,795.92 × 1,795.92
  4. Step 4: Simplify right side
    821.39x = 3,225,335.38
  5. Step 5: Solve for x
    x = 3,225,335.38/821.39
  6. Step 6: Final answer
    x = 3,926.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.