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Finding the Third Proportional to 11,987.63 and 17,981.63

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Solution

The third proportional to 11,987.63 and 17,981.63 is: 26,972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,987.63 : 17,981.63 = 17,981.63 : x
  2. Step 2: Convert to fraction form
    11,987.63/17,981.63 = 17,981.63/x
  3. Step 3: Cross multiply
    11,987.63x = 17,981.63 × 17,981.63
  4. Step 4: Simplify right side
    11,987.63x = 323,338,837.64
  5. Step 5: Solve for x
    x = 323,338,837.64/11,987.63
  6. Step 6: Final answer
    x = 26,972.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.