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Finding the Third Proportional to 99,704 and 218,788

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Solution

The third proportional to 99,704 and 218,788 is: 480,102.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,704 : 218,788 = 218,788 : x
  2. Step 2: Convert to fraction form
    99,704/218,788 = 218,788/x
  3. Step 3: Cross multiply
    99,704x = 218,788 × 218,788
  4. Step 4: Simplify right side
    99,704x = 47,868,188,944
  5. Step 5: Solve for x
    x = 47,868,188,944/99,704
  6. Step 6: Final answer
    x = 480,102.99

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.