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Finding the Third Proportional to 7,713 and 11,688.75

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Solution

The third proportional to 7,713 and 11,688.75 is: 17,713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,713 : 11,688.75 = 11,688.75 : x
  2. Step 2: Convert to fraction form
    7,713/11,688.75 = 11,688.75/x
  3. Step 3: Cross multiply
    7,713x = 11,688.75 × 11,688.75
  4. Step 4: Simplify right side
    7,713x = 136,626,876.56
  5. Step 5: Solve for x
    x = 136,626,876.56/7,713
  6. Step 6: Final answer
    x = 17,713.84

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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.