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Finding the Third Proportional to 864.19 and 1,833.19

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Solution

The third proportional to 864.19 and 1,833.19 is: 3,888.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.19 : 1,833.19 = 1,833.19 : x
  2. Step 2: Convert to fraction form
    864.19/1,833.19 = 1,833.19/x
  3. Step 3: Cross multiply
    864.19x = 1,833.19 × 1,833.19
  4. Step 4: Simplify right side
    864.19x = 3,360,576.41
  5. Step 5: Solve for x
    x = 3,360,576.41/864.19
  6. Step 6: Final answer
    x = 3,888.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.