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Finding the Third Proportional to 100,586 and 209,434

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Solution

The third proportional to 100,586 and 209,434 is: 436,070.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,586 : 209,434 = 209,434 : x
  2. Step 2: Convert to fraction form
    100,586/209,434 = 209,434/x
  3. Step 3: Cross multiply
    100,586x = 209,434 × 209,434
  4. Step 4: Simplify right side
    100,586x = 43,862,600,356
  5. Step 5: Solve for x
    x = 43,862,600,356/100,586
  6. Step 6: Final answer
    x = 436,070.63

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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.