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Finding the Third Proportional to 1,993.78 and 4,275.28

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Solution

The third proportional to 1,993.78 and 4,275.28 is: 9,167.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.78 : 4,275.28 = 4,275.28 : x
  2. Step 2: Convert to fraction form
    1,993.78/4,275.28 = 4,275.28/x
  3. Step 3: Cross multiply
    1,993.78x = 4,275.28 × 4,275.28
  4. Step 4: Simplify right side
    1,993.78x = 18,278,029.77
  5. Step 5: Solve for x
    x = 18,278,029.77/1,993.78
  6. Step 6: Final answer
    x = 9,167.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.