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Finding the Third Proportional to 254,874 and 356,483

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Solution

The third proportional to 254,874 and 356,483 is: 498,599.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,874 : 356,483 = 356,483 : x
  2. Step 2: Convert to fraction form
    254,874/356,483 = 356,483/x
  3. Step 3: Cross multiply
    254,874x = 356,483 × 356,483
  4. Step 4: Simplify right side
    254,874x = 127,080,129,289
  5. Step 5: Solve for x
    x = 127,080,129,289/254,874
  6. Step 6: Final answer
    x = 498,599.82

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.