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Finding the Third Proportional to 391,281.75 and 622,425

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Solution

The third proportional to 391,281.75 and 622,425 is: 990,112.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,281.75 : 622,425 = 622,425 : x
  2. Step 2: Convert to fraction form
    391,281.75/622,425 = 622,425/x
  3. Step 3: Cross multiply
    391,281.75x = 622,425 × 622,425
  4. Step 4: Simplify right side
    391,281.75x = 387,412,880,625
  5. Step 5: Solve for x
    x = 387,412,880,625/391,281.75
  6. Step 6: Final answer
    x = 990,112.32

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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.