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Finding the Third Proportional to 161,728 and 252,435

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Solution

The third proportional to 161,728 and 252,435 is: 394,016.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,728 : 252,435 = 252,435 : x
  2. Step 2: Convert to fraction form
    161,728/252,435 = 252,435/x
  3. Step 3: Cross multiply
    161,728x = 252,435 × 252,435
  4. Step 4: Simplify right side
    161,728x = 63,723,429,225
  5. Step 5: Solve for x
    x = 63,723,429,225/161,728
  6. Step 6: Final answer
    x = 394,016.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.