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Finding the Third Proportional to 199,422 and 424,656

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Solution

The third proportional to 199,422 and 424,656 is: 904,276.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,422 : 424,656 = 424,656 : x
  2. Step 2: Convert to fraction form
    199,422/424,656 = 424,656/x
  3. Step 3: Cross multiply
    199,422x = 424,656 × 424,656
  4. Step 4: Simplify right side
    199,422x = 180,332,718,336
  5. Step 5: Solve for x
    x = 180,332,718,336/199,422
  6. Step 6: Final answer
    x = 904,276.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.