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Finding the Third Proportional to 57,566 and 76,821

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Solution

The third proportional to 57,566 and 76,821 is: 102,516.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,566 : 76,821 = 76,821 : x
  2. Step 2: Convert to fraction form
    57,566/76,821 = 76,821/x
  3. Step 3: Cross multiply
    57,566x = 76,821 × 76,821
  4. Step 4: Simplify right side
    57,566x = 5,901,466,041
  5. Step 5: Solve for x
    x = 5,901,466,041/57,566
  6. Step 6: Final answer
    x = 102,516.52

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.