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Finding the Third Proportional to 100,551 and 209,371

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Solution

The third proportional to 100,551 and 209,371 is: 435,960.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,551 : 209,371 = 209,371 : x
  2. Step 2: Convert to fraction form
    100,551/209,371 = 209,371/x
  3. Step 3: Cross multiply
    100,551x = 209,371 × 209,371
  4. Step 4: Simplify right side
    100,551x = 43,836,215,641
  5. Step 5: Solve for x
    x = 43,836,215,641/100,551
  6. Step 6: Final answer
    x = 435,960.02

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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.