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Finding the Third Proportional to 867.80 and 1,767.87

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Solution

The third proportional to 867.80 and 1,767.87 is: 3,601.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.80 : 1,767.87 = 1,767.87 : x
  2. Step 2: Convert to fraction form
    867.80/1,767.87 = 1,767.87/x
  3. Step 3: Cross multiply
    867.80x = 1,767.87 × 1,767.87
  4. Step 4: Simplify right side
    867.80x = 3,125,354.39
  5. Step 5: Solve for x
    x = 3,125,354.39/867.80
  6. Step 6: Final answer
    x = 3,601.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.