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Finding the Third Proportional to 131,220 and 192,456

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Solution

The third proportional to 131,220 and 192,456 is: 282,268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,220 : 192,456 = 192,456 : x
  2. Step 2: Convert to fraction form
    131,220/192,456 = 192,456/x
  3. Step 3: Cross multiply
    131,220x = 192,456 × 192,456
  4. Step 4: Simplify right side
    131,220x = 37,039,311,936
  5. Step 5: Solve for x
    x = 37,039,311,936/131,220
  6. Step 6: Final answer
    x = 282,268.80

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.