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Finding the Third Proportional to 9,112 and 19,972

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Solution

The third proportional to 9,112 and 19,972 is: 43,775.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,112 : 19,972 = 19,972 : x
  2. Step 2: Convert to fraction form
    9,112/19,972 = 19,972/x
  3. Step 3: Cross multiply
    9,112x = 19,972 × 19,972
  4. Step 4: Simplify right side
    9,112x = 398,880,784
  5. Step 5: Solve for x
    x = 398,880,784/9,112
  6. Step 6: Final answer
    x = 43,775.33

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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.