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Finding the Third Proportional to 255,542 and 393,976

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Solution

The third proportional to 255,542 and 393,976 is: 607,403.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,542 : 393,976 = 393,976 : x
  2. Step 2: Convert to fraction form
    255,542/393,976 = 393,976/x
  3. Step 3: Cross multiply
    255,542x = 393,976 × 393,976
  4. Step 4: Simplify right side
    255,542x = 155,217,088,576
  5. Step 5: Solve for x
    x = 155,217,088,576/255,542
  6. Step 6: Final answer
    x = 607,403.43

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.