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Finding the Third Proportional to 281,664 and 626,302

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Solution

The third proportional to 281,664 and 626,302 is: 1,392,631.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,664 : 626,302 = 626,302 : x
  2. Step 2: Convert to fraction form
    281,664/626,302 = 626,302/x
  3. Step 3: Cross multiply
    281,664x = 626,302 × 626,302
  4. Step 4: Simplify right side
    281,664x = 392,254,195,204
  5. Step 5: Solve for x
    x = 392,254,195,204/281,664
  6. Step 6: Final answer
    x = 1,392,631.63

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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.