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Finding the Third Proportional to 361,406 and 482,979

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Solution

The third proportional to 361,406 and 482,979 is: 645,447.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,406 : 482,979 = 482,979 : x
  2. Step 2: Convert to fraction form
    361,406/482,979 = 482,979/x
  3. Step 3: Cross multiply
    361,406x = 482,979 × 482,979
  4. Step 4: Simplify right side
    361,406x = 233,268,714,441
  5. Step 5: Solve for x
    x = 233,268,714,441/361,406
  6. Step 6: Final answer
    x = 645,447.82

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.