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Finding the Third Proportional to 3,636 and 8,077.50

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Solution

The third proportional to 3,636 and 8,077.50 is: 17,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636 : 8,077.50 = 8,077.50 : x
  2. Step 2: Convert to fraction form
    3,636/8,077.50 = 8,077.50/x
  3. Step 3: Cross multiply
    3,636x = 8,077.50 × 8,077.50
  4. Step 4: Simplify right side
    3,636x = 65,246,006.25
  5. Step 5: Solve for x
    x = 65,246,006.25/3,636
  6. Step 6: Final answer
    x = 17,944.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.