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Finding the Third Proportional to 138,148 and 247,864

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Solution

The third proportional to 138,148 and 247,864 is: 444,715.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,148 : 247,864 = 247,864 : x
  2. Step 2: Convert to fraction form
    138,148/247,864 = 247,864/x
  3. Step 3: Cross multiply
    138,148x = 247,864 × 247,864
  4. Step 4: Simplify right side
    138,148x = 61,436,562,496
  5. Step 5: Solve for x
    x = 61,436,562,496/138,148
  6. Step 6: Final answer
    x = 444,715.54

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.