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Finding the Third Proportional to 138,872 and 298,777

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Solution

The third proportional to 138,872 and 298,777 is: 642,805.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,872 : 298,777 = 298,777 : x
  2. Step 2: Convert to fraction form
    138,872/298,777 = 298,777/x
  3. Step 3: Cross multiply
    138,872x = 298,777 × 298,777
  4. Step 4: Simplify right side
    138,872x = 89,267,695,729
  5. Step 5: Solve for x
    x = 89,267,695,729/138,872
  6. Step 6: Final answer
    x = 642,805.57

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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.