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Finding the Third Proportional to 174,279 and 381,786

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Solution

The third proportional to 174,279 and 381,786 is: 836,363.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,279 : 381,786 = 381,786 : x
  2. Step 2: Convert to fraction form
    174,279/381,786 = 381,786/x
  3. Step 3: Cross multiply
    174,279x = 381,786 × 381,786
  4. Step 4: Simplify right side
    174,279x = 145,760,549,796
  5. Step 5: Solve for x
    x = 145,760,549,796/174,279
  6. Step 6: Final answer
    x = 836,363.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.