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Finding the Third Proportional to 248,398 and 393,974

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Solution

The third proportional to 248,398 and 393,974 is: 624,866.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,398 : 393,974 = 393,974 : x
  2. Step 2: Convert to fraction form
    248,398/393,974 = 393,974/x
  3. Step 3: Cross multiply
    248,398x = 393,974 × 393,974
  4. Step 4: Simplify right side
    248,398x = 155,215,512,676
  5. Step 5: Solve for x
    x = 155,215,512,676/248,398
  6. Step 6: Final answer
    x = 624,866.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.