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Finding the Third Proportional to 51,372 and 77,427

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Solution

The third proportional to 51,372 and 77,427 is: 116,696.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,372 : 77,427 = 77,427 : x
  2. Step 2: Convert to fraction form
    51,372/77,427 = 77,427/x
  3. Step 3: Cross multiply
    51,372x = 77,427 × 77,427
  4. Step 4: Simplify right side
    51,372x = 5,994,940,329
  5. Step 5: Solve for x
    x = 5,994,940,329/51,372
  6. Step 6: Final answer
    x = 116,696.65

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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.