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Finding the Third Proportional to 171,478 and 376,156

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Solution

The third proportional to 171,478 and 376,156 is: 825,139.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,478 : 376,156 = 376,156 : x
  2. Step 2: Convert to fraction form
    171,478/376,156 = 376,156/x
  3. Step 3: Cross multiply
    171,478x = 376,156 × 376,156
  4. Step 4: Simplify right side
    171,478x = 141,493,336,336
  5. Step 5: Solve for x
    x = 141,493,336,336/171,478
  6. Step 6: Final answer
    x = 825,139.88

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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.