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Finding the Third Proportional to 7,879.75 and 16,802.50

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Solution

The third proportional to 7,879.75 and 16,802.50 is: 35,829.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,879.75 : 16,802.50 = 16,802.50 : x
  2. Step 2: Convert to fraction form
    7,879.75/16,802.50 = 16,802.50/x
  3. Step 3: Cross multiply
    7,879.75x = 16,802.50 × 16,802.50
  4. Step 4: Simplify right side
    7,879.75x = 282,324,006.25
  5. Step 5: Solve for x
    x = 282,324,006.25/7,879.75
  6. Step 6: Final answer
    x = 35,829.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.