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Finding the Third Proportional to 201,129.75 and 277,057.13

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Solution

The third proportional to 201,129.75 and 277,057.13 is: 381,647.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,129.75 : 277,057.13 = 277,057.13 : x
  2. Step 2: Convert to fraction form
    201,129.75/277,057.13 = 277,057.13/x
  3. Step 3: Cross multiply
    201,129.75x = 277,057.13 × 277,057.13
  4. Step 4: Simplify right side
    201,129.75x = 76,760,650,513.27
  5. Step 5: Solve for x
    x = 76,760,650,513.27/201,129.75
  6. Step 6: Final answer
    x = 381,647.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.