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Finding the Third Proportional to 51,502 and 68,981

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Solution

The third proportional to 51,502 and 68,981 is: 92,392.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,502 : 68,981 = 68,981 : x
  2. Step 2: Convert to fraction form
    51,502/68,981 = 68,981/x
  3. Step 3: Cross multiply
    51,502x = 68,981 × 68,981
  4. Step 4: Simplify right side
    51,502x = 4,758,378,361
  5. Step 5: Solve for x
    x = 4,758,378,361/51,502
  6. Step 6: Final answer
    x = 92,392.11

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.