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Finding the Third Proportional to 201,129 and 320,147

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Solution

The third proportional to 201,129 and 320,147 is: 509,593.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,129 : 320,147 = 320,147 : x
  2. Step 2: Convert to fraction form
    201,129/320,147 = 320,147/x
  3. Step 3: Cross multiply
    201,129x = 320,147 × 320,147
  4. Step 4: Simplify right side
    201,129x = 102,494,101,609
  5. Step 5: Solve for x
    x = 102,494,101,609/201,129
  6. Step 6: Final answer
    x = 509,593.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.