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Finding the Third Proportional to 174,469 and 377,921

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Solution

The third proportional to 174,469 and 377,921 is: 818,622.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,469 : 377,921 = 377,921 : x
  2. Step 2: Convert to fraction form
    174,469/377,921 = 377,921/x
  3. Step 3: Cross multiply
    174,469x = 377,921 × 377,921
  4. Step 4: Simplify right side
    174,469x = 142,824,282,241
  5. Step 5: Solve for x
    x = 142,824,282,241/174,469
  6. Step 6: Final answer
    x = 818,622.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.