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Finding the Third Proportional to 411.96 and 875.18

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Solution

The third proportional to 411.96 and 875.18 is: 1,859.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.96 : 875.18 = 875.18 : x
  2. Step 2: Convert to fraction form
    411.96/875.18 = 875.18/x
  3. Step 3: Cross multiply
    411.96x = 875.18 × 875.18
  4. Step 4: Simplify right side
    411.96x = 765,939.49
  5. Step 5: Solve for x
    x = 765,939.49/411.96
  6. Step 6: Final answer
    x = 1,859.25

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.