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Finding the Third Proportional to 57,765 and 77,267

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Solution

The third proportional to 57,765 and 77,267 is: 103,353.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,765 : 77,267 = 77,267 : x
  2. Step 2: Convert to fraction form
    57,765/77,267 = 77,267/x
  3. Step 3: Cross multiply
    57,765x = 77,267 × 77,267
  4. Step 4: Simplify right side
    57,765x = 5,970,189,289
  5. Step 5: Solve for x
    x = 5,970,189,289/57,765
  6. Step 6: Final answer
    x = 103,353.06

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.