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Finding the Third Proportional to 254,324 and 393,177

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Solution

The third proportional to 254,324 and 393,177 is: 607,839.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,324 : 393,177 = 393,177 : x
  2. Step 2: Convert to fraction form
    254,324/393,177 = 393,177/x
  3. Step 3: Cross multiply
    254,324x = 393,177 × 393,177
  4. Step 4: Simplify right side
    254,324x = 154,588,153,329
  5. Step 5: Solve for x
    x = 154,588,153,329/254,324
  6. Step 6: Final answer
    x = 607,839.42

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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.