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Finding the Third Proportional to 151,226 and 331,396

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Solution

The third proportional to 151,226 and 331,396 is: 726,219.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,226 : 331,396 = 331,396 : x
  2. Step 2: Convert to fraction form
    151,226/331,396 = 331,396/x
  3. Step 3: Cross multiply
    151,226x = 331,396 × 331,396
  4. Step 4: Simplify right side
    151,226x = 109,823,308,816
  5. Step 5: Solve for x
    x = 109,823,308,816/151,226
  6. Step 6: Final answer
    x = 726,219.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.