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Finding the Third Proportional to 9,699.12 and 12,629.36

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Solution

The third proportional to 9,699.12 and 12,629.36 is: 16,444.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.12 : 12,629.36 = 12,629.36 : x
  2. Step 2: Convert to fraction form
    9,699.12/12,629.36 = 12,629.36/x
  3. Step 3: Cross multiply
    9,699.12x = 12,629.36 × 12,629.36
  4. Step 4: Simplify right side
    9,699.12x = 159,500,619.56
  5. Step 5: Solve for x
    x = 159,500,619.56/9,699.12
  6. Step 6: Final answer
    x = 16,444.86

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.