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Finding the Third Proportional to 9,100.50 and 13,714.88

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Solution

The third proportional to 9,100.50 and 13,714.88 is: 20,668.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.50 : 13,714.88 = 13,714.88 : x
  2. Step 2: Convert to fraction form
    9,100.50/13,714.88 = 13,714.88/x
  3. Step 3: Cross multiply
    9,100.50x = 13,714.88 × 13,714.88
  4. Step 4: Simplify right side
    9,100.50x = 188,097,796.27
  5. Step 5: Solve for x
    x = 188,097,796.27/9,100.50
  6. Step 6: Final answer
    x = 20,668.95

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.