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Finding the Third Proportional to 100,490 and 209,249

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Solution

The third proportional to 100,490 and 209,249 is: 435,716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,490 : 209,249 = 209,249 : x
  2. Step 2: Convert to fraction form
    100,490/209,249 = 209,249/x
  3. Step 3: Cross multiply
    100,490x = 209,249 × 209,249
  4. Step 4: Simplify right side
    100,490x = 43,785,144,001
  5. Step 5: Solve for x
    x = 43,785,144,001/100,490
  6. Step 6: Final answer
    x = 435,716.43

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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.