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Finding the Third Proportional to 19,512 and 41,988

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Solution

The third proportional to 19,512 and 41,988 is: 90,354.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,512 : 41,988 = 41,988 : x
  2. Step 2: Convert to fraction form
    19,512/41,988 = 41,988/x
  3. Step 3: Cross multiply
    19,512x = 41,988 × 41,988
  4. Step 4: Simplify right side
    19,512x = 1,762,992,144
  5. Step 5: Solve for x
    x = 1,762,992,144/19,512
  6. Step 6: Final answer
    x = 90,354.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.