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Finding the Third Proportional to 8,343 and 12,828.38

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Solution

The third proportional to 8,343 and 12,828.38 is: 19,725.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343 : 12,828.38 = 12,828.38 : x
  2. Step 2: Convert to fraction form
    8,343/12,828.38 = 12,828.38/x
  3. Step 3: Cross multiply
    8,343x = 12,828.38 × 12,828.38
  4. Step 4: Simplify right side
    8,343x = 164,567,205.14
  5. Step 5: Solve for x
    x = 164,567,205.14/8,343
  6. Step 6: Final answer
    x = 19,725.18

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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.