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Finding the Third Proportional to 4,009.50 and 8,660.25

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Solution

The third proportional to 4,009.50 and 8,660.25 is: 18,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.50 : 8,660.25 = 8,660.25 : x
  2. Step 2: Convert to fraction form
    4,009.50/8,660.25 = 8,660.25/x
  3. Step 3: Cross multiply
    4,009.50x = 8,660.25 × 8,660.25
  4. Step 4: Simplify right side
    4,009.50x = 74,999,930.06
  5. Step 5: Solve for x
    x = 74,999,930.06/4,009.50
  6. Step 6: Final answer
    x = 18,705.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.