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Finding the Third Proportional to 7,729 and 11,740.75

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Solution

The third proportional to 7,729 and 11,740.75 is: 17,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729 : 11,740.75 = 11,740.75 : x
  2. Step 2: Convert to fraction form
    7,729/11,740.75 = 11,740.75/x
  3. Step 3: Cross multiply
    7,729x = 11,740.75 × 11,740.75
  4. Step 4: Simplify right side
    7,729x = 137,845,210.56
  5. Step 5: Solve for x
    x = 137,845,210.56/7,729
  6. Step 6: Final answer
    x = 17,834.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.