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Finding the Third Proportional to 131,256 and 201,996

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Solution

The third proportional to 131,256 and 201,996 is: 310,861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,256 : 201,996 = 201,996 : x
  2. Step 2: Convert to fraction form
    131,256/201,996 = 201,996/x
  3. Step 3: Cross multiply
    131,256x = 201,996 × 201,996
  4. Step 4: Simplify right side
    131,256x = 40,802,384,016
  5. Step 5: Solve for x
    x = 40,802,384,016/131,256
  6. Step 6: Final answer
    x = 310,861.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.