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Finding the Third Proportional to 9,378 and 20,011

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Solution

The third proportional to 9,378 and 20,011 is: 42,699.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,378 : 20,011 = 20,011 : x
  2. Step 2: Convert to fraction form
    9,378/20,011 = 20,011/x
  3. Step 3: Cross multiply
    9,378x = 20,011 × 20,011
  4. Step 4: Simplify right side
    9,378x = 400,440,121
  5. Step 5: Solve for x
    x = 400,440,121/9,378
  6. Step 6: Final answer
    x = 42,699.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.