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Finding the Third Proportional to 1,951.78 and 3,121.78

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Solution

The third proportional to 1,951.78 and 3,121.78 is: 4,993.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,951.78 : 3,121.78 = 3,121.78 : x
  2. Step 2: Convert to fraction form
    1,951.78/3,121.78 = 3,121.78/x
  3. Step 3: Cross multiply
    1,951.78x = 3,121.78 × 3,121.78
  4. Step 4: Simplify right side
    1,951.78x = 9,745,518.17
  5. Step 5: Solve for x
    x = 9,745,518.17/1,951.78
  6. Step 6: Final answer
    x = 4,993.14

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.