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Finding the Third Proportional to 1,285.88 and 2,864.11

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Solution

The third proportional to 1,285.88 and 2,864.11 is: 6,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.88 : 2,864.11 = 2,864.11 : x
  2. Step 2: Convert to fraction form
    1,285.88/2,864.11 = 2,864.11/x
  3. Step 3: Cross multiply
    1,285.88x = 2,864.11 × 2,864.11
  4. Step 4: Simplify right side
    1,285.88x = 8,203,122.51
  5. Step 5: Solve for x
    x = 8,203,122.51/1,285.88
  6. Step 6: Final answer
    x = 6,379.41

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.