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Finding the Third Proportional to 257,445 and 398,622

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Solution

The third proportional to 257,445 and 398,622 is: 617,217.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,445 : 398,622 = 398,622 : x
  2. Step 2: Convert to fraction form
    257,445/398,622 = 398,622/x
  3. Step 3: Cross multiply
    257,445x = 398,622 × 398,622
  4. Step 4: Simplify right side
    257,445x = 158,899,498,884
  5. Step 5: Solve for x
    x = 158,899,498,884/257,445
  6. Step 6: Final answer
    x = 617,217.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.