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Finding the Third Proportional to 3,997.50 and 6,051.75

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Solution

The third proportional to 3,997.50 and 6,051.75 is: 9,161.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,997.50 : 6,051.75 = 6,051.75 : x
  2. Step 2: Convert to fraction form
    3,997.50/6,051.75 = 6,051.75/x
  3. Step 3: Cross multiply
    3,997.50x = 6,051.75 × 6,051.75
  4. Step 4: Simplify right side
    3,997.50x = 36,623,678.06
  5. Step 5: Solve for x
    x = 36,623,678.06/3,997.50
  6. Step 6: Final answer
    x = 9,161.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.