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Finding the Third Proportional to 154,937 and 328,474

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Solution

The third proportional to 154,937 and 328,474 is: 696,380.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,937 : 328,474 = 328,474 : x
  2. Step 2: Convert to fraction form
    154,937/328,474 = 328,474/x
  3. Step 3: Cross multiply
    154,937x = 328,474 × 328,474
  4. Step 4: Simplify right side
    154,937x = 107,895,168,676
  5. Step 5: Solve for x
    x = 107,895,168,676/154,937
  6. Step 6: Final answer
    x = 696,380.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.