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Finding the Third Proportional to 138,671 and 298,717

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Solution

The third proportional to 138,671 and 298,717 is: 643,478.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,671 : 298,717 = 298,717 : x
  2. Step 2: Convert to fraction form
    138,671/298,717 = 298,717/x
  3. Step 3: Cross multiply
    138,671x = 298,717 × 298,717
  4. Step 4: Simplify right side
    138,671x = 89,231,846,089
  5. Step 5: Solve for x
    x = 89,231,846,089/138,671
  6. Step 6: Final answer
    x = 643,478.78

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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.