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Finding the Third Proportional to 155,424 and 338,952

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Solution

The third proportional to 155,424 and 338,952 is: 739,193.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,424 : 338,952 = 338,952 : x
  2. Step 2: Convert to fraction form
    155,424/338,952 = 338,952/x
  3. Step 3: Cross multiply
    155,424x = 338,952 × 338,952
  4. Step 4: Simplify right side
    155,424x = 114,888,458,304
  5. Step 5: Solve for x
    x = 114,888,458,304/155,424
  6. Step 6: Final answer
    x = 739,193.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.