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Finding the Third Proportional to 7,129.69 and 10,698.19

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Solution

The third proportional to 7,129.69 and 10,698.19 is: 16,052.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.69 : 10,698.19 = 10,698.19 : x
  2. Step 2: Convert to fraction form
    7,129.69/10,698.19 = 10,698.19/x
  3. Step 3: Cross multiply
    7,129.69x = 10,698.19 × 10,698.19
  4. Step 4: Simplify right side
    7,129.69x = 114,451,215.79
  5. Step 5: Solve for x
    x = 114,451,215.79/7,129.69
  6. Step 6: Final answer
    x = 16,052.77

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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.