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Finding the Third Proportional to 73,719 and 151,812

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Solution

The third proportional to 73,719 and 151,812 is: 312,631.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,719 : 151,812 = 151,812 : x
  2. Step 2: Convert to fraction form
    73,719/151,812 = 151,812/x
  3. Step 3: Cross multiply
    73,719x = 151,812 × 151,812
  4. Step 4: Simplify right side
    73,719x = 23,046,883,344
  5. Step 5: Solve for x
    x = 23,046,883,344/73,719
  6. Step 6: Final answer
    x = 312,631.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.