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Finding the Third Proportional to 156,956 and 343,574

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Solution

The third proportional to 156,956 and 343,574 is: 752,077.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,956 : 343,574 = 343,574 : x
  2. Step 2: Convert to fraction form
    156,956/343,574 = 343,574/x
  3. Step 3: Cross multiply
    156,956x = 343,574 × 343,574
  4. Step 4: Simplify right side
    156,956x = 118,043,093,476
  5. Step 5: Solve for x
    x = 118,043,093,476/156,956
  6. Step 6: Final answer
    x = 752,077.61

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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.