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Finding the Third Proportional to 475,508 and 990,872

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Solution

The third proportional to 475,508 and 990,872 is: 2,064,796.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,508 : 990,872 = 990,872 : x
  2. Step 2: Convert to fraction form
    475,508/990,872 = 990,872/x
  3. Step 3: Cross multiply
    475,508x = 990,872 × 990,872
  4. Step 4: Simplify right side
    475,508x = 981,827,320,384
  5. Step 5: Solve for x
    x = 981,827,320,384/475,508
  6. Step 6: Final answer
    x = 2,064,796.64

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.