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Finding the Third Proportional to 156,974 and 339,220

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Solution

The third proportional to 156,974 and 339,220 is: 733,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,974 : 339,220 = 339,220 : x
  2. Step 2: Convert to fraction form
    156,974/339,220 = 339,220/x
  3. Step 3: Cross multiply
    156,974x = 339,220 × 339,220
  4. Step 4: Simplify right side
    156,974x = 115,070,208,400
  5. Step 5: Solve for x
    x = 115,070,208,400/156,974
  6. Step 6: Final answer
    x = 733,052.66

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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.