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Finding the Third Proportional to 181,538 and 253,919

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Solution

The third proportional to 181,538 and 253,919 is: 355,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,538 : 253,919 = 253,919 : x
  2. Step 2: Convert to fraction form
    181,538/253,919 = 253,919/x
  3. Step 3: Cross multiply
    181,538x = 253,919 × 253,919
  4. Step 4: Simplify right side
    181,538x = 64,474,858,561
  5. Step 5: Solve for x
    x = 64,474,858,561/181,538
  6. Step 6: Final answer
    x = 355,159.02

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.