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Finding the Third Proportional to 4,222.08 and 9,187.36

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Solution

The third proportional to 4,222.08 and 9,187.36 is: 19,991.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,222.08 : 9,187.36 = 9,187.36 : x
  2. Step 2: Convert to fraction form
    4,222.08/9,187.36 = 9,187.36/x
  3. Step 3: Cross multiply
    4,222.08x = 9,187.36 × 9,187.36
  4. Step 4: Simplify right side
    4,222.08x = 84,407,572.29
  5. Step 5: Solve for x
    x = 84,407,572.29/4,222.08
  6. Step 6: Final answer
    x = 19,991.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.