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Finding the Third Proportional to 399,759 and 874,251

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Solution

The third proportional to 399,759 and 874,251 is: 1,911,938.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,759 : 874,251 = 874,251 : x
  2. Step 2: Convert to fraction form
    399,759/874,251 = 874,251/x
  3. Step 3: Cross multiply
    399,759x = 874,251 × 874,251
  4. Step 4: Simplify right side
    399,759x = 764,314,811,001
  5. Step 5: Solve for x
    x = 764,314,811,001/399,759
  6. Step 6: Final answer
    x = 1,911,938.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.