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Finding the Third Proportional to 51,972 and 78,306

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Solution

The third proportional to 51,972 and 78,306 is: 117,983.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,972 : 78,306 = 78,306 : x
  2. Step 2: Convert to fraction form
    51,972/78,306 = 78,306/x
  3. Step 3: Cross multiply
    51,972x = 78,306 × 78,306
  4. Step 4: Simplify right side
    51,972x = 6,131,829,636
  5. Step 5: Solve for x
    x = 6,131,829,636/51,972
  6. Step 6: Final answer
    x = 117,983.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.