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Finding the Third Proportional to 243,697 and 363,517

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Solution

The third proportional to 243,697 and 363,517 is: 542,249.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,697 : 363,517 = 363,517 : x
  2. Step 2: Convert to fraction form
    243,697/363,517 = 363,517/x
  3. Step 3: Cross multiply
    243,697x = 363,517 × 363,517
  4. Step 4: Simplify right side
    243,697x = 132,144,609,289
  5. Step 5: Solve for x
    x = 132,144,609,289/243,697
  6. Step 6: Final answer
    x = 542,249.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.