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Finding the Third Proportional to 881.25 and 1,318.88

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Solution

The third proportional to 881.25 and 1,318.88 is: 1,973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.25 : 1,318.88 = 1,318.88 : x
  2. Step 2: Convert to fraction form
    881.25/1,318.88 = 1,318.88/x
  3. Step 3: Cross multiply
    881.25x = 1,318.88 × 1,318.88
  4. Step 4: Simplify right side
    881.25x = 1,739,431.27
  5. Step 5: Solve for x
    x = 1,739,431.27/881.25
  6. Step 6: Final answer
    x = 1,973.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.