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Finding the Third Proportional to 69,493 and 151,729

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Solution

The third proportional to 69,493 and 151,729 is: 331,280.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,493 : 151,729 = 151,729 : x
  2. Step 2: Convert to fraction form
    69,493/151,729 = 151,729/x
  3. Step 3: Cross multiply
    69,493x = 151,729 × 151,729
  4. Step 4: Simplify right side
    69,493x = 23,021,689,441
  5. Step 5: Solve for x
    x = 23,021,689,441/69,493
  6. Step 6: Final answer
    x = 331,280.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.