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Finding the Third Proportional to 201,600 and 331,956

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Solution

The third proportional to 201,600 and 331,956 is: 546,601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,600 : 331,956 = 331,956 : x
  2. Step 2: Convert to fraction form
    201,600/331,956 = 331,956/x
  3. Step 3: Cross multiply
    201,600x = 331,956 × 331,956
  4. Step 4: Simplify right side
    201,600x = 110,194,785,936
  5. Step 5: Solve for x
    x = 110,194,785,936/201,600
  6. Step 6: Final answer
    x = 546,601.12

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.