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Finding the Third Proportional to 254,832 and 356,424

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Solution

The third proportional to 254,832 and 356,424 is: 498,516.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,832 : 356,424 = 356,424 : x
  2. Step 2: Convert to fraction form
    254,832/356,424 = 356,424/x
  3. Step 3: Cross multiply
    254,832x = 356,424 × 356,424
  4. Step 4: Simplify right side
    254,832x = 127,038,067,776
  5. Step 5: Solve for x
    x = 127,038,067,776/254,832
  6. Step 6: Final answer
    x = 498,516.94

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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.