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Finding the Third Proportional to 161,878.50 and 330,180.75

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Solution

The third proportional to 161,878.50 and 330,180.75 is: 673,463.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,878.50 : 330,180.75 = 330,180.75 : x
  2. Step 2: Convert to fraction form
    161,878.50/330,180.75 = 330,180.75/x
  3. Step 3: Cross multiply
    161,878.50x = 330,180.75 × 330,180.75
  4. Step 4: Simplify right side
    161,878.50x = 109,019,327,670.56
  5. Step 5: Solve for x
    x = 109,019,327,670.56/161,878.50
  6. Step 6: Final answer
    x = 673,463.91

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.