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Finding the Third Proportional to 198,072 and 296,345.25

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Solution

The third proportional to 198,072 and 296,345.25 is: 443,376.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,072 : 296,345.25 = 296,345.25 : x
  2. Step 2: Convert to fraction form
    198,072/296,345.25 = 296,345.25/x
  3. Step 3: Cross multiply
    198,072x = 296,345.25 × 296,345.25
  4. Step 4: Simplify right side
    198,072x = 87,820,507,197.56
  5. Step 5: Solve for x
    x = 87,820,507,197.56/198,072
  6. Step 6: Final answer
    x = 443,376.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.