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Finding the Third Proportional to 7,731 and 11,668.13

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Solution

The third proportional to 7,731 and 11,668.13 is: 17,610.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731 : 11,668.13 = 11,668.13 : x
  2. Step 2: Convert to fraction form
    7,731/11,668.13 = 11,668.13/x
  3. Step 3: Cross multiply
    7,731x = 11,668.13 × 11,668.13
  4. Step 4: Simplify right side
    7,731x = 136,145,141.02
  5. Step 5: Solve for x
    x = 136,145,141.02/7,731
  6. Step 6: Final answer
    x = 17,610.29

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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.