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Finding the Third Proportional to 7,707.66 and 11,767.78

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Solution

The third proportional to 7,707.66 and 11,767.78 is: 17,966.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,707.66 : 11,767.78 = 11,767.78 : x
  2. Step 2: Convert to fraction form
    7,707.66/11,767.78 = 11,767.78/x
  3. Step 3: Cross multiply
    7,707.66x = 11,767.78 × 11,767.78
  4. Step 4: Simplify right side
    7,707.66x = 138,480,675.55
  5. Step 5: Solve for x
    x = 138,480,675.55/7,707.66
  6. Step 6: Final answer
    x = 17,966.64

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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.