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Finding the Third Proportional to 123,906.38 and 196,931.25

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Solution

The third proportional to 123,906.38 and 196,931.25 is: 312,993.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,906.38 : 196,931.25 = 196,931.25 : x
  2. Step 2: Convert to fraction form
    123,906.38/196,931.25 = 196,931.25/x
  3. Step 3: Cross multiply
    123,906.38x = 196,931.25 × 196,931.25
  4. Step 4: Simplify right side
    123,906.38x = 38,781,917,226.56
  5. Step 5: Solve for x
    x = 38,781,917,226.56/123,906.38
  6. Step 6: Final answer
    x = 312,993.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.