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Finding the Third Proportional to 338,418 and 495,963

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Solution

The third proportional to 338,418 and 495,963 is: 726,850.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,418 : 495,963 = 495,963 : x
  2. Step 2: Convert to fraction form
    338,418/495,963 = 495,963/x
  3. Step 3: Cross multiply
    338,418x = 495,963 × 495,963
  4. Step 4: Simplify right side
    338,418x = 245,979,297,369
  5. Step 5: Solve for x
    x = 245,979,297,369/338,418
  6. Step 6: Final answer
    x = 726,850.51

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.