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Finding the Third Proportional to 257,996 and 398,664

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Solution

The third proportional to 257,996 and 398,664 is: 616,028.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,996 : 398,664 = 398,664 : x
  2. Step 2: Convert to fraction form
    257,996/398,664 = 398,664/x
  3. Step 3: Cross multiply
    257,996x = 398,664 × 398,664
  4. Step 4: Simplify right side
    257,996x = 158,932,984,896
  5. Step 5: Solve for x
    x = 158,932,984,896/257,996
  6. Step 6: Final answer
    x = 616,028.87

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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.