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Finding the Third Proportional to 12,647.87 and 18,914.13

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Solution

The third proportional to 12,647.87 and 18,914.13 is: 28,284.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,647.87 : 18,914.13 = 18,914.13 : x
  2. Step 2: Convert to fraction form
    12,647.87/18,914.13 = 18,914.13/x
  3. Step 3: Cross multiply
    12,647.87x = 18,914.13 × 18,914.13
  4. Step 4: Simplify right side
    12,647.87x = 357,744,420.05
  5. Step 5: Solve for x
    x = 357,744,420.05/12,647.87
  6. Step 6: Final answer
    x = 28,284.96

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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.