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Finding the Third Proportional to 131,660 and 212,036

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Solution

The third proportional to 131,660 and 212,036 is: 341,480.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,660 : 212,036 = 212,036 : x
  2. Step 2: Convert to fraction form
    131,660/212,036 = 212,036/x
  3. Step 3: Cross multiply
    131,660x = 212,036 × 212,036
  4. Step 4: Simplify right side
    131,660x = 44,959,265,296
  5. Step 5: Solve for x
    x = 44,959,265,296/131,660
  6. Step 6: Final answer
    x = 341,480.06

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.