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Finding the Third Proportional to 174,613 and 381,211

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Solution

The third proportional to 174,613 and 381,211 is: 832,250.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,613 : 381,211 = 381,211 : x
  2. Step 2: Convert to fraction form
    174,613/381,211 = 381,211/x
  3. Step 3: Cross multiply
    174,613x = 381,211 × 381,211
  4. Step 4: Simplify right side
    174,613x = 145,321,826,521
  5. Step 5: Solve for x
    x = 145,321,826,521/174,613
  6. Step 6: Final answer
    x = 832,250.90

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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.