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Finding the Third Proportional to 100,494 and 209,257

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Solution

The third proportional to 100,494 and 209,257 is: 435,732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,494 : 209,257 = 209,257 : x
  2. Step 2: Convert to fraction form
    100,494/209,257 = 209,257/x
  3. Step 3: Cross multiply
    100,494x = 209,257 × 209,257
  4. Step 4: Simplify right side
    100,494x = 43,788,492,049
  5. Step 5: Solve for x
    x = 43,788,492,049/100,494
  6. Step 6: Final answer
    x = 435,732.40

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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.