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Finding the Third Proportional to 485,462 and 990,202

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Solution

The third proportional to 485,462 and 990,202 is: 2,019,725.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,462 : 990,202 = 990,202 : x
  2. Step 2: Convert to fraction form
    485,462/990,202 = 990,202/x
  3. Step 3: Cross multiply
    485,462x = 990,202 × 990,202
  4. Step 4: Simplify right side
    485,462x = 980,500,000,804
  5. Step 5: Solve for x
    x = 980,500,000,804/485,462
  6. Step 6: Final answer
    x = 2,019,725.54

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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.