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Finding the Third Proportional to 281,679 and 626,328

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Solution

The third proportional to 281,679 and 626,328 is: 1,392,673.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,679 : 626,328 = 626,328 : x
  2. Step 2: Convert to fraction form
    281,679/626,328 = 626,328/x
  3. Step 3: Cross multiply
    281,679x = 626,328 × 626,328
  4. Step 4: Simplify right side
    281,679x = 392,286,763,584
  5. Step 5: Solve for x
    x = 392,286,763,584/281,679
  6. Step 6: Final answer
    x = 1,392,673.09

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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.