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Finding the Third Proportional to 99,036 and 211,896

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Solution

The third proportional to 99,036 and 211,896 is: 453,369.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,036 : 211,896 = 211,896 : x
  2. Step 2: Convert to fraction form
    99,036/211,896 = 211,896/x
  3. Step 3: Cross multiply
    99,036x = 211,896 × 211,896
  4. Step 4: Simplify right side
    99,036x = 44,899,914,816
  5. Step 5: Solve for x
    x = 44,899,914,816/99,036
  6. Step 6: Final answer
    x = 453,369.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.