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Finding the Third Proportional to 131,766 and 284,220

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Solution

The third proportional to 131,766 and 284,220 is: 613,064.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,766 : 284,220 = 284,220 : x
  2. Step 2: Convert to fraction form
    131,766/284,220 = 284,220/x
  3. Step 3: Cross multiply
    131,766x = 284,220 × 284,220
  4. Step 4: Simplify right side
    131,766x = 80,781,008,400
  5. Step 5: Solve for x
    x = 80,781,008,400/131,766
  6. Step 6: Final answer
    x = 613,064.13

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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.