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Finding the Third Proportional to 202,464.56 and 443,064.94

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Solution

The third proportional to 202,464.56 and 443,064.94 is: 969,584.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,464.56 : 443,064.94 = 443,064.94 : x
  2. Step 2: Convert to fraction form
    202,464.56/443,064.94 = 443,064.94/x
  3. Step 3: Cross multiply
    202,464.56x = 443,064.94 × 443,064.94
  4. Step 4: Simplify right side
    202,464.56x = 196,306,538,841.88
  5. Step 5: Solve for x
    x = 196,306,538,841.88/202,464.56
  6. Step 6: Final answer
    x = 969,584.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.