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Finding the Third Proportional to 7,129.50 and 10,968

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Solution

The third proportional to 7,129.50 and 10,968 is: 16,873.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.50 : 10,968 = 10,968 : x
  2. Step 2: Convert to fraction form
    7,129.50/10,968 = 10,968/x
  3. Step 3: Cross multiply
    7,129.50x = 10,968 × 10,968
  4. Step 4: Simplify right side
    7,129.50x = 120,297,024
  5. Step 5: Solve for x
    x = 120,297,024/7,129.50
  6. Step 6: Final answer
    x = 16,873.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.