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Finding the Third Proportional to 138,467 and 298,154

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Solution

The third proportional to 138,467 and 298,154 is: 641,999.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,467 : 298,154 = 298,154 : x
  2. Step 2: Convert to fraction form
    138,467/298,154 = 298,154/x
  3. Step 3: Cross multiply
    138,467x = 298,154 × 298,154
  4. Step 4: Simplify right side
    138,467x = 88,895,807,716
  5. Step 5: Solve for x
    x = 88,895,807,716/138,467
  6. Step 6: Final answer
    x = 641,999.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.