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Finding the Third Proportional to 299,273 and 646,025

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Solution

The third proportional to 299,273 and 646,025 is: 1,394,540.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,273 : 646,025 = 646,025 : x
  2. Step 2: Convert to fraction form
    299,273/646,025 = 646,025/x
  3. Step 3: Cross multiply
    299,273x = 646,025 × 646,025
  4. Step 4: Simplify right side
    299,273x = 417,348,300,625
  5. Step 5: Solve for x
    x = 417,348,300,625/299,273
  6. Step 6: Final answer
    x = 1,394,540.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.