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Finding the Third Proportional to 257,469 and 398,658

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Solution

The third proportional to 257,469 and 398,658 is: 617,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,469 : 398,658 = 398,658 : x
  2. Step 2: Convert to fraction form
    257,469/398,658 = 398,658/x
  3. Step 3: Cross multiply
    257,469x = 398,658 × 398,658
  4. Step 4: Simplify right side
    257,469x = 158,928,200,964
  5. Step 5: Solve for x
    x = 158,928,200,964/257,469
  6. Step 6: Final answer
    x = 617,271.21

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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.