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Finding the Third Proportional to 881.79 and 1,170.12

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Solution

The third proportional to 881.79 and 1,170.12 is: 1,552.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    881.79 : 1,170.12 = 1,170.12 : x
  2. Step 2: Convert to fraction form
    881.79/1,170.12 = 1,170.12/x
  3. Step 3: Cross multiply
    881.79x = 1,170.12 × 1,170.12
  4. Step 4: Simplify right side
    881.79x = 1,369,180.23
  5. Step 5: Solve for x
    x = 1,369,180.23/881.79
  6. Step 6: Final answer
    x = 1,552.72

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.