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Finding the Third Proportional to 94,857.56 and 203,163.56

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Solution

The third proportional to 94,857.56 and 203,163.56 is: 435,130.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,857.56 : 203,163.56 = 203,163.56 : x
  2. Step 2: Convert to fraction form
    94,857.56/203,163.56 = 203,163.56/x
  3. Step 3: Cross multiply
    94,857.56x = 203,163.56 × 203,163.56
  4. Step 4: Simplify right side
    94,857.56x = 41,275,433,127.69
  5. Step 5: Solve for x
    x = 41,275,433,127.69/94,857.56
  6. Step 6: Final answer
    x = 435,130.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.