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Finding the Third Proportional to 189,682.38 and 396,902.53

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Solution

The third proportional to 189,682.38 and 396,902.53 is: 830,502.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,682.38 : 396,902.53 = 396,902.53 : x
  2. Step 2: Convert to fraction form
    189,682.38/396,902.53 = 396,902.53/x
  3. Step 3: Cross multiply
    189,682.38x = 396,902.53 × 396,902.53
  4. Step 4: Simplify right side
    189,682.38x = 157,531,619,312.66
  5. Step 5: Solve for x
    x = 157,531,619,312.66/189,682.38
  6. Step 6: Final answer
    x = 830,502.11

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.