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Finding the Third Proportional to 138,974 and 230,015

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Solution

The third proportional to 138,974 and 230,015 is: 380,696.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,974 : 230,015 = 230,015 : x
  2. Step 2: Convert to fraction form
    138,974/230,015 = 230,015/x
  3. Step 3: Cross multiply
    138,974x = 230,015 × 230,015
  4. Step 4: Simplify right side
    138,974x = 52,906,900,225
  5. Step 5: Solve for x
    x = 52,906,900,225/138,974
  6. Step 6: Final answer
    x = 380,696.39

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.