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Finding the Third Proportional to 171,821 and 377,518

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Solution

The third proportional to 171,821 and 377,518 is: 829,466.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,821 : 377,518 = 377,518 : x
  2. Step 2: Convert to fraction form
    171,821/377,518 = 377,518/x
  3. Step 3: Cross multiply
    171,821x = 377,518 × 377,518
  4. Step 4: Simplify right side
    171,821x = 142,519,840,324
  5. Step 5: Solve for x
    x = 142,519,840,324/171,821
  6. Step 6: Final answer
    x = 829,466.95

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.