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Finding the Third Proportional to 7,029.28 and 7,940.53

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Solution

The third proportional to 7,029.28 and 7,940.53 is: 8,969.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.28 : 7,940.53 = 7,940.53 : x
  2. Step 2: Convert to fraction form
    7,029.28/7,940.53 = 7,940.53/x
  3. Step 3: Cross multiply
    7,029.28x = 7,940.53 × 7,940.53
  4. Step 4: Simplify right side
    7,029.28x = 63,052,036.53
  5. Step 5: Solve for x
    x = 63,052,036.53/7,029.28
  6. Step 6: Final answer
    x = 8,969.91

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.