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Finding the Third Proportional to 254,362 and 393,493

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Solution

The third proportional to 254,362 and 393,493 is: 608,725.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,362 : 393,493 = 393,493 : x
  2. Step 2: Convert to fraction form
    254,362/393,493 = 393,493/x
  3. Step 3: Cross multiply
    254,362x = 393,493 × 393,493
  4. Step 4: Simplify right side
    254,362x = 154,836,741,049
  5. Step 5: Solve for x
    x = 154,836,741,049/254,362
  6. Step 6: Final answer
    x = 608,725.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.