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Finding the Third Proportional to 13,777.88 and 20,636.44

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Solution

The third proportional to 13,777.88 and 20,636.44 is: 30,909.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.88 : 20,636.44 = 20,636.44 : x
  2. Step 2: Convert to fraction form
    13,777.88/20,636.44 = 20,636.44/x
  3. Step 3: Cross multiply
    13,777.88x = 20,636.44 × 20,636.44
  4. Step 4: Simplify right side
    13,777.88x = 425,862,552.69
  5. Step 5: Solve for x
    x = 425,862,552.69/13,777.88
  6. Step 6: Final answer
    x = 30,909.16

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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.