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Finding the Third Proportional to 891.56 and 1,988.02

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Solution

The third proportional to 891.56 and 1,988.02 is: 4,432.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.56 : 1,988.02 = 1,988.02 : x
  2. Step 2: Convert to fraction form
    891.56/1,988.02 = 1,988.02/x
  3. Step 3: Cross multiply
    891.56x = 1,988.02 × 1,988.02
  4. Step 4: Simplify right side
    891.56x = 3,952,206.13
  5. Step 5: Solve for x
    x = 3,952,206.13/891.56
  6. Step 6: Final answer
    x = 4,432.90

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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.