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Finding the Third Proportional to 131,512 and 203,406

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Solution

The third proportional to 131,512 and 203,406 is: 314,602.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,512 : 203,406 = 203,406 : x
  2. Step 2: Convert to fraction form
    131,512/203,406 = 203,406/x
  3. Step 3: Cross multiply
    131,512x = 203,406 × 203,406
  4. Step 4: Simplify right side
    131,512x = 41,374,000,836
  5. Step 5: Solve for x
    x = 41,374,000,836/131,512
  6. Step 6: Final answer
    x = 314,602.48

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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.