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Finding the Third Proportional to 138,026 and 209,109

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Solution

The third proportional to 138,026 and 209,109 is: 316,799.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,026 : 209,109 = 209,109 : x
  2. Step 2: Convert to fraction form
    138,026/209,109 = 209,109/x
  3. Step 3: Cross multiply
    138,026x = 209,109 × 209,109
  4. Step 4: Simplify right side
    138,026x = 43,726,573,881
  5. Step 5: Solve for x
    x = 43,726,573,881/138,026
  6. Step 6: Final answer
    x = 316,799.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.