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Finding the Third Proportional to 131,297 and 203,690

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Solution

The third proportional to 131,297 and 203,690 is: 315,998.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,297 : 203,690 = 203,690 : x
  2. Step 2: Convert to fraction form
    131,297/203,690 = 203,690/x
  3. Step 3: Cross multiply
    131,297x = 203,690 × 203,690
  4. Step 4: Simplify right side
    131,297x = 41,489,616,100
  5. Step 5: Solve for x
    x = 41,489,616,100/131,297
  6. Step 6: Final answer
    x = 315,998.20

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.