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Finding the Third Proportional to 10,011.94 and 20,631.38

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Solution

The third proportional to 10,011.94 and 20,631.38 is: 42,514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.94 : 20,631.38 = 20,631.38 : x
  2. Step 2: Convert to fraction form
    10,011.94/20,631.38 = 20,631.38/x
  3. Step 3: Cross multiply
    10,011.94x = 20,631.38 × 20,631.38
  4. Step 4: Simplify right side
    10,011.94x = 425,653,634.39
  5. Step 5: Solve for x
    x = 425,653,634.39/10,011.94
  6. Step 6: Final answer
    x = 42,514.61

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.