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Finding the Third Proportional to 199,162 and 315,515

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Solution

The third proportional to 199,162 and 315,515 is: 499,842.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,162 : 315,515 = 315,515 : x
  2. Step 2: Convert to fraction form
    199,162/315,515 = 315,515/x
  3. Step 3: Cross multiply
    199,162x = 315,515 × 315,515
  4. Step 4: Simplify right side
    199,162x = 99,549,715,225
  5. Step 5: Solve for x
    x = 99,549,715,225/199,162
  6. Step 6: Final answer
    x = 499,842.92

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.