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Finding the Third Proportional to 6,750.66 and 10,125.94

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Solution

The third proportional to 6,750.66 and 10,125.94 is: 15,188.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750.66 : 10,125.94 = 10,125.94 : x
  2. Step 2: Convert to fraction form
    6,750.66/10,125.94 = 10,125.94/x
  3. Step 3: Cross multiply
    6,750.66x = 10,125.94 × 10,125.94
  4. Step 4: Simplify right side
    6,750.66x = 102,534,610.25
  5. Step 5: Solve for x
    x = 102,534,610.25/6,750.66
  6. Step 6: Final answer
    x = 15,188.84

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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.