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Finding the Third Proportional to 6,889.50 and 10,095

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Solution

The third proportional to 6,889.50 and 10,095 is: 14,791.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,889.50 : 10,095 = 10,095 : x
  2. Step 2: Convert to fraction form
    6,889.50/10,095 = 10,095/x
  3. Step 3: Cross multiply
    6,889.50x = 10,095 × 10,095
  4. Step 4: Simplify right side
    6,889.50x = 101,909,025
  5. Step 5: Solve for x
    x = 101,909,025/6,889.50
  6. Step 6: Final answer
    x = 14,791.93

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