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Finding the Third Proportional to 51,869 and 61,427

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Solution

The third proportional to 51,869 and 61,427 is: 72,746.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,869 : 61,427 = 61,427 : x
  2. Step 2: Convert to fraction form
    51,869/61,427 = 61,427/x
  3. Step 3: Cross multiply
    51,869x = 61,427 × 61,427
  4. Step 4: Simplify right side
    51,869x = 3,773,276,329
  5. Step 5: Solve for x
    x = 3,773,276,329/51,869
  6. Step 6: Final answer
    x = 72,746.27

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.