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Finding the Third Proportional to 6,747 and 10,140

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Solution

The third proportional to 6,747 and 10,140 is: 15,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,747 : 10,140 = 10,140 : x
  2. Step 2: Convert to fraction form
    6,747/10,140 = 10,140/x
  3. Step 3: Cross multiply
    6,747x = 10,140 × 10,140
  4. Step 4: Simplify right side
    6,747x = 102,819,600
  5. Step 5: Solve for x
    x = 102,819,600/6,747
  6. Step 6: Final answer
    x = 15,239.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.