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Finding the Third Proportional to 138,579 and 223,182

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Solution

The third proportional to 138,579 and 223,182 is: 359,435.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,579 : 223,182 = 223,182 : x
  2. Step 2: Convert to fraction form
    138,579/223,182 = 223,182/x
  3. Step 3: Cross multiply
    138,579x = 223,182 × 223,182
  4. Step 4: Simplify right side
    138,579x = 49,810,205,124
  5. Step 5: Solve for x
    x = 49,810,205,124/138,579
  6. Step 6: Final answer
    x = 359,435.45

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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.