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Finding the Third Proportional to 7,699.50 and 11,010.38

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Solution

The third proportional to 7,699.50 and 11,010.38 is: 15,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.50 : 11,010.38 = 11,010.38 : x
  2. Step 2: Convert to fraction form
    7,699.50/11,010.38 = 11,010.38/x
  3. Step 3: Cross multiply
    7,699.50x = 11,010.38 × 11,010.38
  4. Step 4: Simplify right side
    7,699.50x = 121,228,357.64
  5. Step 5: Solve for x
    x = 121,228,357.64/7,699.50
  6. Step 6: Final answer
    x = 15,744.96

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.