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Finding the Third Proportional to 18,681.44 and 40,314.09

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Solution

The third proportional to 18,681.44 and 40,314.09 is: 86,996.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,681.44 : 40,314.09 = 40,314.09 : x
  2. Step 2: Convert to fraction form
    18,681.44/40,314.09 = 40,314.09/x
  3. Step 3: Cross multiply
    18,681.44x = 40,314.09 × 40,314.09
  4. Step 4: Simplify right side
    18,681.44x = 1,625,226,154.88
  5. Step 5: Solve for x
    x = 1,625,226,154.88/18,681.44
  6. Step 6: Final answer
    x = 86,996.85

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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.