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Finding the Third Proportional to 202,238 and 440,345

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Solution

The third proportional to 202,238 and 440,345 is: 958,789.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,238 : 440,345 = 440,345 : x
  2. Step 2: Convert to fraction form
    202,238/440,345 = 440,345/x
  3. Step 3: Cross multiply
    202,238x = 440,345 × 440,345
  4. Step 4: Simplify right side
    202,238x = 193,903,719,025
  5. Step 5: Solve for x
    x = 193,903,719,025/202,238
  6. Step 6: Final answer
    x = 958,789.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.