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Finding the Third Proportional to 395,218 and 867,251

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Solution

The third proportional to 395,218 and 867,251 is: 1,903,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,218 : 867,251 = 867,251 : x
  2. Step 2: Convert to fraction form
    395,218/867,251 = 867,251/x
  3. Step 3: Cross multiply
    395,218x = 867,251 × 867,251
  4. Step 4: Simplify right side
    395,218x = 752,124,297,001
  5. Step 5: Solve for x
    x = 752,124,297,001/395,218
  6. Step 6: Final answer
    x = 1,903,061.85

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.