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Finding the Third Proportional to 156,974 and 343,108

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Solution

The third proportional to 156,974 and 343,108 is: 749,952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,974 : 343,108 = 343,108 : x
  2. Step 2: Convert to fraction form
    156,974/343,108 = 343,108/x
  3. Step 3: Cross multiply
    156,974x = 343,108 × 343,108
  4. Step 4: Simplify right side
    156,974x = 117,723,099,664
  5. Step 5: Solve for x
    x = 117,723,099,664/156,974
  6. Step 6: Final answer
    x = 749,952.86

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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.