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Finding the Third Proportional to 201,149.50 and 277,086

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Solution

The third proportional to 201,149.50 and 277,086 is: 381,689.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,149.50 : 277,086 = 277,086 : x
  2. Step 2: Convert to fraction form
    201,149.50/277,086 = 277,086/x
  3. Step 3: Cross multiply
    201,149.50x = 277,086 × 277,086
  4. Step 4: Simplify right side
    201,149.50x = 76,776,651,396
  5. Step 5: Solve for x
    x = 76,776,651,396/201,149.50
  6. Step 6: Final answer
    x = 381,689.50

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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.