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Finding the Third Proportional to 872.16 and 1,882.69

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Solution

The third proportional to 872.16 and 1,882.69 is: 4,064.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.16 : 1,882.69 = 1,882.69 : x
  2. Step 2: Convert to fraction form
    872.16/1,882.69 = 1,882.69/x
  3. Step 3: Cross multiply
    872.16x = 1,882.69 × 1,882.69
  4. Step 4: Simplify right side
    872.16x = 3,544,512.22
  5. Step 5: Solve for x
    x = 3,544,512.22/872.16
  6. Step 6: Final answer
    x = 4,064.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.