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Finding the Third Proportional to 161,578 and 330,991

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Solution

The third proportional to 161,578 and 330,991 is: 678,031.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,578 : 330,991 = 330,991 : x
  2. Step 2: Convert to fraction form
    161,578/330,991 = 330,991/x
  3. Step 3: Cross multiply
    161,578x = 330,991 × 330,991
  4. Step 4: Simplify right side
    161,578x = 109,555,042,081
  5. Step 5: Solve for x
    x = 109,555,042,081/161,578
  6. Step 6: Final answer
    x = 678,031.92

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.