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Finding the Third Proportional to 422,928 and 622,710

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Solution

The third proportional to 422,928 and 622,710 is: 916,864.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,928 : 622,710 = 622,710 : x
  2. Step 2: Convert to fraction form
    422,928/622,710 = 622,710/x
  3. Step 3: Cross multiply
    422,928x = 622,710 × 622,710
  4. Step 4: Simplify right side
    422,928x = 387,767,744,100
  5. Step 5: Solve for x
    x = 387,767,744,100/422,928
  6. Step 6: Final answer
    x = 916,864.68

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.