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Finding the Third Proportional to 401,906 and 803,812

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Solution

The third proportional to 401,906 and 803,812 is: 1,607,624

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,906 : 803,812 = 803,812 : x
  2. Step 2: Convert to fraction form
    401,906/803,812 = 803,812/x
  3. Step 3: Cross multiply
    401,906x = 803,812 × 803,812
  4. Step 4: Simplify right side
    401,906x = 646,113,731,344
  5. Step 5: Solve for x
    x = 646,113,731,344/401,906
  6. Step 6: Final answer
    x = 1,607,624

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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.