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Finding the Third Proportional to 206,316 and 451,998

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Solution

The third proportional to 206,316 and 451,998 is: 990,239.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,316 : 451,998 = 451,998 : x
  2. Step 2: Convert to fraction form
    206,316/451,998 = 451,998/x
  3. Step 3: Cross multiply
    206,316x = 451,998 × 451,998
  4. Step 4: Simplify right side
    206,316x = 204,302,192,004
  5. Step 5: Solve for x
    x = 204,302,192,004/206,316
  6. Step 6: Final answer
    x = 990,239.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.