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Finding the Third Proportional to 7,539.12 and 11,089.30

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Solution

The third proportional to 7,539.12 and 11,089.30 is: 16,311.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,539.12 : 11,089.30 = 11,089.30 : x
  2. Step 2: Convert to fraction form
    7,539.12/11,089.30 = 11,089.30/x
  3. Step 3: Cross multiply
    7,539.12x = 11,089.30 × 11,089.30
  4. Step 4: Simplify right side
    7,539.12x = 122,972,591.82
  5. Step 5: Solve for x
    x = 122,972,591.82/7,539.12
  6. Step 6: Final answer
    x = 16,311.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.