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Finding the Third Proportional to 8,946.75 and 13,481.25

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Solution

The third proportional to 8,946.75 and 13,481.25 is: 20,313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,946.75 : 13,481.25 = 13,481.25 : x
  2. Step 2: Convert to fraction form
    8,946.75/13,481.25 = 13,481.25/x
  3. Step 3: Cross multiply
    8,946.75x = 13,481.25 × 13,481.25
  4. Step 4: Simplify right side
    8,946.75x = 181,744,101.56
  5. Step 5: Solve for x
    x = 181,744,101.56/8,946.75
  6. Step 6: Final answer
    x = 20,313.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.