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Finding the Third Proportional to 281,661 and 626,295

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Solution

The third proportional to 281,661 and 626,295 is: 1,392,615.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,661 : 626,295 = 626,295 : x
  2. Step 2: Convert to fraction form
    281,661/626,295 = 626,295/x
  3. Step 3: Cross multiply
    281,661x = 626,295 × 626,295
  4. Step 4: Simplify right side
    281,661x = 392,245,427,025
  5. Step 5: Solve for x
    x = 392,245,427,025/281,661
  6. Step 6: Final answer
    x = 1,392,615.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.