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Finding the Third Proportional to 131,632 and 284,278

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Solution

The third proportional to 131,632 and 284,278 is: 613,938.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,632 : 284,278 = 284,278 : x
  2. Step 2: Convert to fraction form
    131,632/284,278 = 284,278/x
  3. Step 3: Cross multiply
    131,632x = 284,278 × 284,278
  4. Step 4: Simplify right side
    131,632x = 80,813,981,284
  5. Step 5: Solve for x
    x = 80,813,981,284/131,632
  6. Step 6: Final answer
    x = 613,938.72

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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.