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Finding the Third Proportional to 156,733 and 344,566

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Solution

The third proportional to 156,733 and 344,566 is: 757,503.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,733 : 344,566 = 344,566 : x
  2. Step 2: Convert to fraction form
    156,733/344,566 = 344,566/x
  3. Step 3: Cross multiply
    156,733x = 344,566 × 344,566
  4. Step 4: Simplify right side
    156,733x = 118,725,728,356
  5. Step 5: Solve for x
    x = 118,725,728,356/156,733
  6. Step 6: Final answer
    x = 757,503.07

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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.