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Finding the Third Proportional to 400,257 and 874,386

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Solution

The third proportional to 400,257 and 874,386 is: 1,910,149.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,257 : 874,386 = 874,386 : x
  2. Step 2: Convert to fraction form
    400,257/874,386 = 874,386/x
  3. Step 3: Cross multiply
    400,257x = 874,386 × 874,386
  4. Step 4: Simplify right side
    400,257x = 764,550,876,996
  5. Step 5: Solve for x
    x = 764,550,876,996/400,257
  6. Step 6: Final answer
    x = 1,910,149.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.