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Finding the Third Proportional to 834.68 and 1,781.00

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Solution

The third proportional to 834.68 and 1,781.00 is: 3,800.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.68 : 1,781.00 = 1,781.00 : x
  2. Step 2: Convert to fraction form
    834.68/1,781.00 = 1,781.00/x
  3. Step 3: Cross multiply
    834.68x = 1,781.00 × 1,781.00
  4. Step 4: Simplify right side
    834.68x = 3,171,954.04
  5. Step 5: Solve for x
    x = 3,171,954.04/834.68
  6. Step 6: Final answer
    x = 3,800.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.