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Finding the Third Proportional to 100,409 and 209,134

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Solution

The third proportional to 100,409 and 209,134 is: 435,588.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,409 : 209,134 = 209,134 : x
  2. Step 2: Convert to fraction form
    100,409/209,134 = 209,134/x
  3. Step 3: Cross multiply
    100,409x = 209,134 × 209,134
  4. Step 4: Simplify right side
    100,409x = 43,737,029,956
  5. Step 5: Solve for x
    x = 43,737,029,956/100,409
  6. Step 6: Final answer
    x = 435,588.74

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.