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Finding the Third Proportional to 1,993.78 and 4,656.84

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Solution

The third proportional to 1,993.78 and 4,656.84 is: 10,876.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993.78 : 4,656.84 = 4,656.84 : x
  2. Step 2: Convert to fraction form
    1,993.78/4,656.84 = 4,656.84/x
  3. Step 3: Cross multiply
    1,993.78x = 4,656.84 × 4,656.84
  4. Step 4: Simplify right side
    1,993.78x = 21,686,193.71
  5. Step 5: Solve for x
    x = 21,686,193.71/1,993.78
  6. Step 6: Final answer
    x = 10,876.92

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.