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Finding the Third Proportional to 151,785 and 330,903

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Solution

The third proportional to 151,785 and 330,903 is: 721,394.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,785 : 330,903 = 330,903 : x
  2. Step 2: Convert to fraction form
    151,785/330,903 = 330,903/x
  3. Step 3: Cross multiply
    151,785x = 330,903 × 330,903
  4. Step 4: Simplify right side
    151,785x = 109,496,795,409
  5. Step 5: Solve for x
    x = 109,496,795,409/151,785
  6. Step 6: Final answer
    x = 721,394.05

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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.