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Finding the Third Proportional to 100,586 and 209,437

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Solution

The third proportional to 100,586 and 209,437 is: 436,083.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,586 : 209,437 = 209,437 : x
  2. Step 2: Convert to fraction form
    100,586/209,437 = 209,437/x
  3. Step 3: Cross multiply
    100,586x = 209,437 × 209,437
  4. Step 4: Simplify right side
    100,586x = 43,863,856,969
  5. Step 5: Solve for x
    x = 43,863,856,969/100,586
  6. Step 6: Final answer
    x = 436,083.12

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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.