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Finding the Third Proportional to 6,968.25 and 10,929.38

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Solution

The third proportional to 6,968.25 and 10,929.38 is: 17,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.25 : 10,929.38 = 10,929.38 : x
  2. Step 2: Convert to fraction form
    6,968.25/10,929.38 = 10,929.38/x
  3. Step 3: Cross multiply
    6,968.25x = 10,929.38 × 10,929.38
  4. Step 4: Simplify right side
    6,968.25x = 119,451,237.89
  5. Step 5: Solve for x
    x = 119,451,237.89/6,968.25
  6. Step 6: Final answer
    x = 17,142.21

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.