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Finding the Third Proportional to 155,189 and 247,952

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Solution

The third proportional to 155,189 and 247,952 is: 396,163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,189 : 247,952 = 247,952 : x
  2. Step 2: Convert to fraction form
    155,189/247,952 = 247,952/x
  3. Step 3: Cross multiply
    155,189x = 247,952 × 247,952
  4. Step 4: Simplify right side
    155,189x = 61,480,194,304
  5. Step 5: Solve for x
    x = 61,480,194,304/155,189
  6. Step 6: Final answer
    x = 396,163.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.