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Finding the Third Proportional to 401,908 and 803,816

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Solution

The third proportional to 401,908 and 803,816 is: 1,607,632

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,908 : 803,816 = 803,816 : x
  2. Step 2: Convert to fraction form
    401,908/803,816 = 803,816/x
  3. Step 3: Cross multiply
    401,908x = 803,816 × 803,816
  4. Step 4: Simplify right side
    401,908x = 646,120,161,856
  5. Step 5: Solve for x
    x = 646,120,161,856/401,908
  6. Step 6: Final answer
    x = 1,607,632

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.