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Finding the Third Proportional to 131,646 and 188,120

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Solution

The third proportional to 131,646 and 188,120 is: 268,820.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,646 : 188,120 = 188,120 : x
  2. Step 2: Convert to fraction form
    131,646/188,120 = 188,120/x
  3. Step 3: Cross multiply
    131,646x = 188,120 × 188,120
  4. Step 4: Simplify right side
    131,646x = 35,389,134,400
  5. Step 5: Solve for x
    x = 35,389,134,400/131,646
  6. Step 6: Final answer
    x = 268,820.43

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.