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Finding the Third Proportional to 304,722 and 646,302

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Solution

The third proportional to 304,722 and 646,302 is: 1,370,778.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,722 : 646,302 = 646,302 : x
  2. Step 2: Convert to fraction form
    304,722/646,302 = 646,302/x
  3. Step 3: Cross multiply
    304,722x = 646,302 × 646,302
  4. Step 4: Simplify right side
    304,722x = 417,706,275,204
  5. Step 5: Solve for x
    x = 417,706,275,204/304,722
  6. Step 6: Final answer
    x = 1,370,778.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.