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Finding the Third Proportional to 156,716 and 343,477

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Solution

The third proportional to 156,716 and 343,477 is: 752,804.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,716 : 343,477 = 343,477 : x
  2. Step 2: Convert to fraction form
    156,716/343,477 = 343,477/x
  3. Step 3: Cross multiply
    156,716x = 343,477 × 343,477
  4. Step 4: Simplify right side
    156,716x = 117,976,449,529
  5. Step 5: Solve for x
    x = 117,976,449,529/156,716
  6. Step 6: Final answer
    x = 752,804.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.