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Finding the Third Proportional to 172,134 and 377,448

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Solution

The third proportional to 172,134 and 377,448 is: 827,651.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,134 : 377,448 = 377,448 : x
  2. Step 2: Convert to fraction form
    172,134/377,448 = 377,448/x
  3. Step 3: Cross multiply
    172,134x = 377,448 × 377,448
  4. Step 4: Simplify right side
    172,134x = 142,466,992,704
  5. Step 5: Solve for x
    x = 142,466,992,704/172,134
  6. Step 6: Final answer
    x = 827,651.67

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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.