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Finding the Third Proportional to 156,917 and 342,991

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Solution

The third proportional to 156,917 and 342,991 is: 749,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,917 : 342,991 = 342,991 : x
  2. Step 2: Convert to fraction form
    156,917/342,991 = 342,991/x
  3. Step 3: Cross multiply
    156,917x = 342,991 × 342,991
  4. Step 4: Simplify right side
    156,917x = 117,642,826,081
  5. Step 5: Solve for x
    x = 117,642,826,081/156,917
  6. Step 6: Final answer
    x = 749,713.71

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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.