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Finding the Third Proportional to 230,667 and 310,374

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Solution

The third proportional to 230,667 and 310,374 is: 417,623.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,667 : 310,374 = 310,374 : x
  2. Step 2: Convert to fraction form
    230,667/310,374 = 310,374/x
  3. Step 3: Cross multiply
    230,667x = 310,374 × 310,374
  4. Step 4: Simplify right side
    230,667x = 96,332,019,876
  5. Step 5: Solve for x
    x = 96,332,019,876/230,667
  6. Step 6: Final answer
    x = 417,623.76

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.