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Finding the Third Proportional to 51,615 and 75,431

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Solution

The third proportional to 51,615 and 75,431 is: 110,236.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,615 : 75,431 = 75,431 : x
  2. Step 2: Convert to fraction form
    51,615/75,431 = 75,431/x
  3. Step 3: Cross multiply
    51,615x = 75,431 × 75,431
  4. Step 4: Simplify right side
    51,615x = 5,689,835,761
  5. Step 5: Solve for x
    x = 5,689,835,761/51,615
  6. Step 6: Final answer
    x = 110,236.09

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.