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Finding the Third Proportional to 155,539 and 248,078

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Solution

The third proportional to 155,539 and 248,078 is: 395,673.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,539 : 248,078 = 248,078 : x
  2. Step 2: Convert to fraction form
    155,539/248,078 = 248,078/x
  3. Step 3: Cross multiply
    155,539x = 248,078 × 248,078
  4. Step 4: Simplify right side
    155,539x = 61,542,694,084
  5. Step 5: Solve for x
    x = 61,542,694,084/155,539
  6. Step 6: Final answer
    x = 395,673.72

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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.