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Finding the Third Proportional to 131,220.84 and 192,640.78

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Solution

The third proportional to 131,220.84 and 192,640.78 is: 282,809.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,220.84 : 192,640.78 = 192,640.78 : x
  2. Step 2: Convert to fraction form
    131,220.84/192,640.78 = 192,640.78/x
  3. Step 3: Cross multiply
    131,220.84x = 192,640.78 × 192,640.78
  4. Step 4: Simplify right side
    131,220.84x = 37,110,470,600.61
  5. Step 5: Solve for x
    x = 37,110,470,600.61/131,220.84
  6. Step 6: Final answer
    x = 282,809.27

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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.