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Finding the Third Proportional to 393,628 and 552,338

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Solution

The third proportional to 393,628 and 552,338 is: 775,039.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,628 : 552,338 = 552,338 : x
  2. Step 2: Convert to fraction form
    393,628/552,338 = 552,338/x
  3. Step 3: Cross multiply
    393,628x = 552,338 × 552,338
  4. Step 4: Simplify right side
    393,628x = 305,077,266,244
  5. Step 5: Solve for x
    x = 305,077,266,244/393,628
  6. Step 6: Final answer
    x = 775,039.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.