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Finding the Third Proportional to 9,306.56 and 19,911.66

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Solution

The third proportional to 9,306.56 and 19,911.66 is: 42,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.56 : 19,911.66 = 19,911.66 : x
  2. Step 2: Convert to fraction form
    9,306.56/19,911.66 = 19,911.66/x
  3. Step 3: Cross multiply
    9,306.56x = 19,911.66 × 19,911.66
  4. Step 4: Simplify right side
    9,306.56x = 396,474,054.62
  5. Step 5: Solve for x
    x = 396,474,054.62/9,306.56
  6. Step 6: Final answer
    x = 42,601.56

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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.