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Finding the Third Proportional to 8,620.88 and 13,829.63

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Solution

The third proportional to 8,620.88 and 13,829.63 is: 22,185.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,620.88 : 13,829.63 = 13,829.63 : x
  2. Step 2: Convert to fraction form
    8,620.88/13,829.63 = 13,829.63/x
  3. Step 3: Cross multiply
    8,620.88x = 13,829.63 × 13,829.63
  4. Step 4: Simplify right side
    8,620.88x = 191,258,527.64
  5. Step 5: Solve for x
    x = 191,258,527.64/8,620.88
  6. Step 6: Final answer
    x = 22,185.51

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.