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Finding the Third Proportional to 9,111.08 and 19,913.66

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Solution

The third proportional to 9,111.08 and 19,913.66 is: 43,524.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.08 : 19,913.66 = 19,913.66 : x
  2. Step 2: Convert to fraction form
    9,111.08/19,913.66 = 19,913.66/x
  3. Step 3: Cross multiply
    9,111.08x = 19,913.66 × 19,913.66
  4. Step 4: Simplify right side
    9,111.08x = 396,553,860.82
  5. Step 5: Solve for x
    x = 396,553,860.82/9,111.08
  6. Step 6: Final answer
    x = 43,524.37

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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.