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Finding the Third Proportional to 864.14 and 1,854.42

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Solution

The third proportional to 864.14 and 1,854.42 is: 3,979.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.14 : 1,854.42 = 1,854.42 : x
  2. Step 2: Convert to fraction form
    864.14/1,854.42 = 1,854.42/x
  3. Step 3: Cross multiply
    864.14x = 1,854.42 × 1,854.42
  4. Step 4: Simplify right side
    864.14x = 3,438,880.49
  5. Step 5: Solve for x
    x = 3,438,880.49/864.14
  6. Step 6: Final answer
    x = 3,979.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.