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Finding the Third Proportional to 100,589 and 209,440

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Solution

The third proportional to 100,589 and 209,440 is: 436,082.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,589 : 209,440 = 209,440 : x
  2. Step 2: Convert to fraction form
    100,589/209,440 = 209,440/x
  3. Step 3: Cross multiply
    100,589x = 209,440 × 209,440
  4. Step 4: Simplify right side
    100,589x = 43,865,113,600
  5. Step 5: Solve for x
    x = 43,865,113,600/100,589
  6. Step 6: Final answer
    x = 436,082.61

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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.