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Finding the Third Proportional to 138,863 and 298,821

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Solution

The third proportional to 138,863 and 298,821 is: 643,036.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,863 : 298,821 = 298,821 : x
  2. Step 2: Convert to fraction form
    138,863/298,821 = 298,821/x
  3. Step 3: Cross multiply
    138,863x = 298,821 × 298,821
  4. Step 4: Simplify right side
    138,863x = 89,293,990,041
  5. Step 5: Solve for x
    x = 89,293,990,041/138,863
  6. Step 6: Final answer
    x = 643,036.59

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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.