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Finding the Third Proportional to 207,728 and 339,168

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Solution

The third proportional to 207,728 and 339,168 is: 553,776.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,728 : 339,168 = 339,168 : x
  2. Step 2: Convert to fraction form
    207,728/339,168 = 339,168/x
  3. Step 3: Cross multiply
    207,728x = 339,168 × 339,168
  4. Step 4: Simplify right side
    207,728x = 115,034,932,224
  5. Step 5: Solve for x
    x = 115,034,932,224/207,728
  6. Step 6: Final answer
    x = 553,776.73

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.