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Finding the Third Proportional to 285,808 and 622,400

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Solution

The third proportional to 285,808 and 622,400 is: 1,355,391.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,808 : 622,400 = 622,400 : x
  2. Step 2: Convert to fraction form
    285,808/622,400 = 622,400/x
  3. Step 3: Cross multiply
    285,808x = 622,400 × 622,400
  4. Step 4: Simplify right side
    285,808x = 387,381,760,000
  5. Step 5: Solve for x
    x = 387,381,760,000/285,808
  6. Step 6: Final answer
    x = 1,355,391.59

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.