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Finding the Third Proportional to 891.84 and 1,291.36

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Solution

The third proportional to 891.84 and 1,291.36 is: 1,869.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    891.84 : 1,291.36 = 1,291.36 : x
  2. Step 2: Convert to fraction form
    891.84/1,291.36 = 1,291.36/x
  3. Step 3: Cross multiply
    891.84x = 1,291.36 × 1,291.36
  4. Step 4: Simplify right side
    891.84x = 1,667,609.04
  5. Step 5: Solve for x
    x = 1,667,609.04/891.84
  6. Step 6: Final answer
    x = 1,869.84

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.