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Finding the Third Proportional to 285,708 and 622,211

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Solution

The third proportional to 285,708 and 622,211 is: 1,355,042.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,708 : 622,211 = 622,211 : x
  2. Step 2: Convert to fraction form
    285,708/622,211 = 622,211/x
  3. Step 3: Cross multiply
    285,708x = 622,211 × 622,211
  4. Step 4: Simplify right side
    285,708x = 387,146,528,521
  5. Step 5: Solve for x
    x = 387,146,528,521/285,708
  6. Step 6: Final answer
    x = 1,355,042.66

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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.