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Finding the Third Proportional to 403,802 and 874,474

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Solution

The third proportional to 403,802 and 874,474 is: 1,893,761.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,802 : 874,474 = 874,474 : x
  2. Step 2: Convert to fraction form
    403,802/874,474 = 874,474/x
  3. Step 3: Cross multiply
    403,802x = 874,474 × 874,474
  4. Step 4: Simplify right side
    403,802x = 764,704,776,676
  5. Step 5: Solve for x
    x = 764,704,776,676/403,802
  6. Step 6: Final answer
    x = 1,893,761.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.