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Finding the Third Proportional to 156,736 and 338,406

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Solution

The third proportional to 156,736 and 338,406 is: 730,646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,736 : 338,406 = 338,406 : x
  2. Step 2: Convert to fraction form
    156,736/338,406 = 338,406/x
  3. Step 3: Cross multiply
    156,736x = 338,406 × 338,406
  4. Step 4: Simplify right side
    156,736x = 114,518,620,836
  5. Step 5: Solve for x
    x = 114,518,620,836/156,736
  6. Step 6: Final answer
    x = 730,646.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.