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Finding the Third Proportional to 11,686.78 and 25,287.19

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Solution

The third proportional to 11,686.78 and 25,287.19 is: 54,714.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,686.78 : 25,287.19 = 25,287.19 : x
  2. Step 2: Convert to fraction form
    11,686.78/25,287.19 = 25,287.19/x
  3. Step 3: Cross multiply
    11,686.78x = 25,287.19 × 25,287.19
  4. Step 4: Simplify right side
    11,686.78x = 639,441,851.66
  5. Step 5: Solve for x
    x = 639,441,851.66/11,686.78
  6. Step 6: Final answer
    x = 54,714.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.