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Finding the Third Proportional to 100,609 and 209,486

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Solution

The third proportional to 100,609 and 209,486 is: 436,187.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,609 : 209,486 = 209,486 : x
  2. Step 2: Convert to fraction form
    100,609/209,486 = 209,486/x
  3. Step 3: Cross multiply
    100,609x = 209,486 × 209,486
  4. Step 4: Simplify right side
    100,609x = 43,884,384,196
  5. Step 5: Solve for x
    x = 43,884,384,196/100,609
  6. Step 6: Final answer
    x = 436,187.46

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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.