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Finding the Third Proportional to 57,059 and 75,729

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Solution

The third proportional to 57,059 and 75,729 is: 100,507.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,059 : 75,729 = 75,729 : x
  2. Step 2: Convert to fraction form
    57,059/75,729 = 75,729/x
  3. Step 3: Cross multiply
    57,059x = 75,729 × 75,729
  4. Step 4: Simplify right side
    57,059x = 5,734,881,441
  5. Step 5: Solve for x
    x = 5,734,881,441/57,059
  6. Step 6: Final answer
    x = 100,507.92

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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.