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Finding the Third Proportional to 157,740 and 225,351

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Solution

The third proportional to 157,740 and 225,351 is: 321,941.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,740 : 225,351 = 225,351 : x
  2. Step 2: Convert to fraction form
    157,740/225,351 = 225,351/x
  3. Step 3: Cross multiply
    157,740x = 225,351 × 225,351
  4. Step 4: Simplify right side
    157,740x = 50,783,073,201
  5. Step 5: Solve for x
    x = 50,783,073,201/157,740
  6. Step 6: Final answer
    x = 321,941.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.