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Finding the Third Proportional to 11,686.78 and 21,175.17

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Solution

The third proportional to 11,686.78 and 21,175.17 is: 38,367.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.78 : 21,175.17 = 21,175.17 : x
  2. Step 2: Convert to fraction form
    11,686.78/21,175.17 = 21,175.17/x
  3. Step 3: Cross multiply
    11,686.78x = 21,175.17 × 21,175.17
  4. Step 4: Simplify right side
    11,686.78x = 448,387,903.94
  5. Step 5: Solve for x
    x = 448,387,903.94/11,686.78
  6. Step 6: Final answer
    x = 38,367.10

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.