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Finding the Third Proportional to 867.05 and 1,872.66

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Solution

The third proportional to 867.05 and 1,872.66 is: 4,044.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.05 : 1,872.66 = 1,872.66 : x
  2. Step 2: Convert to fraction form
    867.05/1,872.66 = 1,872.66/x
  3. Step 3: Cross multiply
    867.05x = 1,872.66 × 1,872.66
  4. Step 4: Simplify right side
    867.05x = 3,506,841.43
  5. Step 5: Solve for x
    x = 3,506,841.43/867.05
  6. Step 6: Final answer
    x = 4,044.58

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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.