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Finding the Third Proportional to 391,278.94 and 622,419.19

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Solution

The third proportional to 391,278.94 and 622,419.19 is: 990,100.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,278.94 : 622,419.19 = 622,419.19 : x
  2. Step 2: Convert to fraction form
    391,278.94/622,419.19 = 622,419.19/x
  3. Step 3: Cross multiply
    391,278.94x = 622,419.19 × 622,419.19
  4. Step 4: Simplify right side
    391,278.94x = 387,405,644,968.16
  5. Step 5: Solve for x
    x = 387,405,644,968.16/391,278.94
  6. Step 6: Final answer
    x = 990,100.94

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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.