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Finding the Third Proportional to 1,732.13 and 3,304.78

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Solution

The third proportional to 1,732.13 and 3,304.78 is: 6,305.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.13 : 3,304.78 = 3,304.78 : x
  2. Step 2: Convert to fraction form
    1,732.13/3,304.78 = 3,304.78/x
  3. Step 3: Cross multiply
    1,732.13x = 3,304.78 × 3,304.78
  4. Step 4: Simplify right side
    1,732.13x = 10,921,579.11
  5. Step 5: Solve for x
    x = 10,921,579.11/1,732.13
  6. Step 6: Final answer
    x = 6,305.31

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.