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Finding the Third Proportional to 13,464.19 and 20,560.88

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Solution

The third proportional to 13,464.19 and 20,560.88 is: 31,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,464.19 : 20,560.88 = 20,560.88 : x
  2. Step 2: Convert to fraction form
    13,464.19/20,560.88 = 20,560.88/x
  3. Step 3: Cross multiply
    13,464.19x = 20,560.88 × 20,560.88
  4. Step 4: Simplify right side
    13,464.19x = 422,749,580.77
  5. Step 5: Solve for x
    x = 422,749,580.77/13,464.19
  6. Step 6: Final answer
    x = 31,398.08

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.