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Finding the Third Proportional to 138,941 and 298,948

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Solution

The third proportional to 138,941 and 298,948 is: 643,221.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,941 : 298,948 = 298,948 : x
  2. Step 2: Convert to fraction form
    138,941/298,948 = 298,948/x
  3. Step 3: Cross multiply
    138,941x = 298,948 × 298,948
  4. Step 4: Simplify right side
    138,941x = 89,369,906,704
  5. Step 5: Solve for x
    x = 89,369,906,704/138,941
  6. Step 6: Final answer
    x = 643,221.99

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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.