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Finding the Third Proportional to 138,588 and 223,194

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Solution

The third proportional to 138,588 and 223,194 is: 359,450.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,588 : 223,194 = 223,194 : x
  2. Step 2: Convert to fraction form
    138,588/223,194 = 223,194/x
  3. Step 3: Cross multiply
    138,588x = 223,194 × 223,194
  4. Step 4: Simplify right side
    138,588x = 49,815,561,636
  5. Step 5: Solve for x
    x = 49,815,561,636/138,588
  6. Step 6: Final answer
    x = 359,450.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.