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Finding the Third Proportional to 156,685 and 344,474

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Solution

The third proportional to 156,685 and 344,474 is: 757,330.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,685 : 344,474 = 344,474 : x
  2. Step 2: Convert to fraction form
    156,685/344,474 = 344,474/x
  3. Step 3: Cross multiply
    156,685x = 344,474 × 344,474
  4. Step 4: Simplify right side
    156,685x = 118,662,336,676
  5. Step 5: Solve for x
    x = 118,662,336,676/156,685
  6. Step 6: Final answer
    x = 757,330.55

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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.