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Finding the Third Proportional to 257,967 and 350,313

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Solution

The third proportional to 257,967 and 350,313 is: 475,716.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,967 : 350,313 = 350,313 : x
  2. Step 2: Convert to fraction form
    257,967/350,313 = 350,313/x
  3. Step 3: Cross multiply
    257,967x = 350,313 × 350,313
  4. Step 4: Simplify right side
    257,967x = 122,719,197,969
  5. Step 5: Solve for x
    x = 122,719,197,969/257,967
  6. Step 6: Final answer
    x = 475,716.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.