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Finding the Third Proportional to 13,614.75 and 20,421.28

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Solution

The third proportional to 13,614.75 and 20,421.28 is: 30,630.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,614.75 : 20,421.28 = 20,421.28 : x
  2. Step 2: Convert to fraction form
    13,614.75/20,421.28 = 20,421.28/x
  3. Step 3: Cross multiply
    13,614.75x = 20,421.28 × 20,421.28
  4. Step 4: Simplify right side
    13,614.75x = 417,028,727.89
  5. Step 5: Solve for x
    x = 417,028,727.89/13,614.75
  6. Step 6: Final answer
    x = 30,630.66

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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.