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Finding the Third Proportional to 391,558 and 622,345

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Solution

The third proportional to 391,558 and 622,345 is: 989,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,558 : 622,345 = 622,345 : x
  2. Step 2: Convert to fraction form
    391,558/622,345 = 622,345/x
  3. Step 3: Cross multiply
    391,558x = 622,345 × 622,345
  4. Step 4: Simplify right side
    391,558x = 387,313,299,025
  5. Step 5: Solve for x
    x = 387,313,299,025/391,558
  6. Step 6: Final answer
    x = 989,159.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.