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Finding the Third Proportional to 51,496 and 68,972

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Solution

The third proportional to 51,496 and 68,972 is: 92,378.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,496 : 68,972 = 68,972 : x
  2. Step 2: Convert to fraction form
    51,496/68,972 = 68,972/x
  3. Step 3: Cross multiply
    51,496x = 68,972 × 68,972
  4. Step 4: Simplify right side
    51,496x = 4,757,136,784
  5. Step 5: Solve for x
    x = 4,757,136,784/51,496
  6. Step 6: Final answer
    x = 92,378.76

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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.