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Finding the Third Proportional to 4,212.35 and 9,009.09

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Solution

The third proportional to 4,212.35 and 9,009.09 is: 19,268.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.35 : 9,009.09 = 9,009.09 : x
  2. Step 2: Convert to fraction form
    4,212.35/9,009.09 = 9,009.09/x
  3. Step 3: Cross multiply
    4,212.35x = 9,009.09 × 9,009.09
  4. Step 4: Simplify right side
    4,212.35x = 81,163,783.39
  5. Step 5: Solve for x
    x = 81,163,783.39/4,212.35
  6. Step 6: Final answer
    x = 19,268.05

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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.