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Finding the Third Proportional to 100,991 and 218,697

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Solution

The third proportional to 100,991 and 218,697 is: 473,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,991 : 218,697 = 218,697 : x
  2. Step 2: Convert to fraction form
    100,991/218,697 = 218,697/x
  3. Step 3: Cross multiply
    100,991x = 218,697 × 218,697
  4. Step 4: Simplify right side
    100,991x = 47,828,377,809
  5. Step 5: Solve for x
    x = 47,828,377,809/100,991
  6. Step 6: Final answer
    x = 473,590.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.