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Finding the Third Proportional to 297,018 and 393,849

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Solution

The third proportional to 297,018 and 393,849 is: 522,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,018 : 393,849 = 393,849 : x
  2. Step 2: Convert to fraction form
    297,018/393,849 = 393,849/x
  3. Step 3: Cross multiply
    297,018x = 393,849 × 393,849
  4. Step 4: Simplify right side
    297,018x = 155,117,034,801
  5. Step 5: Solve for x
    x = 155,117,034,801/297,018
  6. Step 6: Final answer
    x = 522,247.93

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.