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Finding the Third Proportional to 8,368.31 and 18,275.63

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Solution

The third proportional to 8,368.31 and 18,275.63 is: 39,912.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,368.31 : 18,275.63 = 18,275.63 : x
  2. Step 2: Convert to fraction form
    8,368.31/18,275.63 = 18,275.63/x
  3. Step 3: Cross multiply
    8,368.31x = 18,275.63 × 18,275.63
  4. Step 4: Simplify right side
    8,368.31x = 333,998,469.14
  5. Step 5: Solve for x
    x = 333,998,469.14/8,368.31
  6. Step 6: Final answer
    x = 39,912.28

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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.