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Finding the Third Proportional to 891.28 and 1,937.95

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Solution

The third proportional to 891.28 and 1,937.95 is: 4,213.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.28 : 1,937.95 = 1,937.95 : x
  2. Step 2: Convert to fraction form
    891.28/1,937.95 = 1,937.95/x
  3. Step 3: Cross multiply
    891.28x = 1,937.95 × 1,937.95
  4. Step 4: Simplify right side
    891.28x = 3,755,662.31
  5. Step 5: Solve for x
    x = 3,755,662.31/891.28
  6. Step 6: Final answer
    x = 4,213.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.