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Finding the Third Proportional to 7,971 and 21,683

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Solution

The third proportional to 7,971 and 21,683 is: 58,982.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,971 : 21,683 = 21,683 : x
  2. Step 2: Convert to fraction form
    7,971/21,683 = 21,683/x
  3. Step 3: Cross multiply
    7,971x = 21,683 × 21,683
  4. Step 4: Simplify right side
    7,971x = 470,152,489
  5. Step 5: Solve for x
    x = 470,152,489/7,971
  6. Step 6: Final answer
    x = 58,982.87

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.