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Finding the Third Proportional to 8,984.25 and 12,864.75

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Solution

The third proportional to 8,984.25 and 12,864.75 is: 18,421.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.25 : 12,864.75 = 12,864.75 : x
  2. Step 2: Convert to fraction form
    8,984.25/12,864.75 = 12,864.75/x
  3. Step 3: Cross multiply
    8,984.25x = 12,864.75 × 12,864.75
  4. Step 4: Simplify right side
    8,984.25x = 165,501,792.56
  5. Step 5: Solve for x
    x = 165,501,792.56/8,984.25
  6. Step 6: Final answer
    x = 18,421.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.