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Finding the Third Proportional to 485,464 and 990,206

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Solution

The third proportional to 485,464 and 990,206 is: 2,019,733.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,464 : 990,206 = 990,206 : x
  2. Step 2: Convert to fraction form
    485,464/990,206 = 990,206/x
  3. Step 3: Cross multiply
    485,464x = 990,206 × 990,206
  4. Step 4: Simplify right side
    485,464x = 980,507,922,436
  5. Step 5: Solve for x
    x = 980,507,922,436/485,464
  6. Step 6: Final answer
    x = 2,019,733.54

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.