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Finding the Third Proportional to 269,442 and 374,636

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Solution

The third proportional to 269,442 and 374,636 is: 520,899.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,442 : 374,636 = 374,636 : x
  2. Step 2: Convert to fraction form
    269,442/374,636 = 374,636/x
  3. Step 3: Cross multiply
    269,442x = 374,636 × 374,636
  4. Step 4: Simplify right side
    269,442x = 140,352,132,496
  5. Step 5: Solve for x
    x = 140,352,132,496/269,442
  6. Step 6: Final answer
    x = 520,899.24

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.