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Finding the Third Proportional to 19,440 and 41,647

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Solution

The third proportional to 19,440 and 41,647 is: 89,221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,440 : 41,647 = 41,647 : x
  2. Step 2: Convert to fraction form
    19,440/41,647 = 41,647/x
  3. Step 3: Cross multiply
    19,440x = 41,647 × 41,647
  4. Step 4: Simplify right side
    19,440x = 1,734,472,609
  5. Step 5: Solve for x
    x = 1,734,472,609/19,440
  6. Step 6: Final answer
    x = 89,221.84

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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.