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Finding the Third Proportional to 131,380 and 202,254

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Solution

The third proportional to 131,380 and 202,254 is: 311,361.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,380 : 202,254 = 202,254 : x
  2. Step 2: Convert to fraction form
    131,380/202,254 = 202,254/x
  3. Step 3: Cross multiply
    131,380x = 202,254 × 202,254
  4. Step 4: Simplify right side
    131,380x = 40,906,680,516
  5. Step 5: Solve for x
    x = 40,906,680,516/131,380
  6. Step 6: Final answer
    x = 311,361.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.