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Finding the Third Proportional to 131,812 and 284,360

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Solution

The third proportional to 131,812 and 284,360 is: 613,454.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,812 : 284,360 = 284,360 : x
  2. Step 2: Convert to fraction form
    131,812/284,360 = 284,360/x
  3. Step 3: Cross multiply
    131,812x = 284,360 × 284,360
  4. Step 4: Simplify right side
    131,812x = 80,860,609,600
  5. Step 5: Solve for x
    x = 80,860,609,600/131,812
  6. Step 6: Final answer
    x = 613,454.08

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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.