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Finding the Third Proportional to 138,862 and 298,819

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Solution

The third proportional to 138,862 and 298,819 is: 643,032.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,862 : 298,819 = 298,819 : x
  2. Step 2: Convert to fraction form
    138,862/298,819 = 298,819/x
  3. Step 3: Cross multiply
    138,862x = 298,819 × 298,819
  4. Step 4: Simplify right side
    138,862x = 89,292,794,761
  5. Step 5: Solve for x
    x = 89,292,794,761/138,862
  6. Step 6: Final answer
    x = 643,032.61

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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.