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Finding the Third Proportional to 250,005 and 381,159

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Solution

The third proportional to 250,005 and 381,159 is: 581,117.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,005 : 381,159 = 381,159 : x
  2. Step 2: Convert to fraction form
    250,005/381,159 = 381,159/x
  3. Step 3: Cross multiply
    250,005x = 381,159 × 381,159
  4. Step 4: Simplify right side
    250,005x = 145,282,183,281
  5. Step 5: Solve for x
    x = 145,282,183,281/250,005
  6. Step 6: Final answer
    x = 581,117.11

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.