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Finding the Third Proportional to 8,777.25 and 20,039.63

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Solution

The third proportional to 8,777.25 and 20,039.63 is: 45,753.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,777.25 : 20,039.63 = 20,039.63 : x
  2. Step 2: Convert to fraction form
    8,777.25/20,039.63 = 20,039.63/x
  3. Step 3: Cross multiply
    8,777.25x = 20,039.63 × 20,039.63
  4. Step 4: Simplify right side
    8,777.25x = 401,586,570.14
  5. Step 5: Solve for x
    x = 401,586,570.14/8,777.25
  6. Step 6: Final answer
    x = 45,753.12

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.