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Finding the Third Proportional to 269,446 and 374,642

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Solution

The third proportional to 269,446 and 374,642 is: 520,908.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,446 : 374,642 = 374,642 : x
  2. Step 2: Convert to fraction form
    269,446/374,642 = 374,642/x
  3. Step 3: Cross multiply
    269,446x = 374,642 × 374,642
  4. Step 4: Simplify right side
    269,446x = 140,356,628,164
  5. Step 5: Solve for x
    x = 140,356,628,164/269,446
  6. Step 6: Final answer
    x = 520,908.19

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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.