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Finding the Third Proportional to 4,280.06 and 9,342.56

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Solution

The third proportional to 4,280.06 and 9,342.56 is: 20,393.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,280.06 : 9,342.56 = 9,342.56 : x
  2. Step 2: Convert to fraction form
    4,280.06/9,342.56 = 9,342.56/x
  3. Step 3: Cross multiply
    4,280.06x = 9,342.56 × 9,342.56
  4. Step 4: Simplify right side
    4,280.06x = 87,283,474.07
  5. Step 5: Solve for x
    x = 87,283,474.07/4,280.06
  6. Step 6: Final answer
    x = 20,393.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.