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Finding the Third Proportional to 51,840 and 82,683

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Solution

The third proportional to 51,840 and 82,683 is: 131,876.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,840 : 82,683 = 82,683 : x
  2. Step 2: Convert to fraction form
    51,840/82,683 = 82,683/x
  3. Step 3: Cross multiply
    51,840x = 82,683 × 82,683
  4. Step 4: Simplify right side
    51,840x = 6,836,478,489
  5. Step 5: Solve for x
    x = 6,836,478,489/51,840
  6. Step 6: Final answer
    x = 131,876.51

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.