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Finding the Third Proportional to 5,010.19 and 7,661.81

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Solution

The third proportional to 5,010.19 and 7,661.81 is: 11,716.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,010.19 : 7,661.81 = 7,661.81 : x
  2. Step 2: Convert to fraction form
    5,010.19/7,661.81 = 7,661.81/x
  3. Step 3: Cross multiply
    5,010.19x = 7,661.81 × 7,661.81
  4. Step 4: Simplify right side
    5,010.19x = 58,703,370.79
  5. Step 5: Solve for x
    x = 58,703,370.79/5,010.19
  6. Step 6: Final answer
    x = 11,716.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.