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Finding the Third Proportional to 138,514 and 298,899

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Solution

The third proportional to 138,514 and 298,899 is: 644,993.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,514 : 298,899 = 298,899 : x
  2. Step 2: Convert to fraction form
    138,514/298,899 = 298,899/x
  3. Step 3: Cross multiply
    138,514x = 298,899 × 298,899
  4. Step 4: Simplify right side
    138,514x = 89,340,612,201
  5. Step 5: Solve for x
    x = 89,340,612,201/138,514
  6. Step 6: Final answer
    x = 644,993.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.