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Finding the Third Proportional to 156,819 and 328,218

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Solution

The third proportional to 156,819 and 328,218 is: 686,951.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,819 : 328,218 = 328,218 : x
  2. Step 2: Convert to fraction form
    156,819/328,218 = 328,218/x
  3. Step 3: Cross multiply
    156,819x = 328,218 × 328,218
  4. Step 4: Simplify right side
    156,819x = 107,727,055,524
  5. Step 5: Solve for x
    x = 107,727,055,524/156,819
  6. Step 6: Final answer
    x = 686,951.55

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.