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Finding the Third Proportional to 297,252 and 646,992

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Solution

The third proportional to 297,252 and 646,992 is: 1,408,228.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,252 : 646,992 = 646,992 : x
  2. Step 2: Convert to fraction form
    297,252/646,992 = 646,992/x
  3. Step 3: Cross multiply
    297,252x = 646,992 × 646,992
  4. Step 4: Simplify right side
    297,252x = 418,598,648,064
  5. Step 5: Solve for x
    x = 418,598,648,064/297,252
  6. Step 6: Final answer
    x = 1,408,228.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.