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Finding the Third Proportional to 343,446 and 505,236

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Solution

The third proportional to 343,446 and 505,236 is: 743,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,446 : 505,236 = 505,236 : x
  2. Step 2: Convert to fraction form
    343,446/505,236 = 505,236/x
  3. Step 3: Cross multiply
    343,446x = 505,236 × 505,236
  4. Step 4: Simplify right side
    343,446x = 255,263,415,696
  5. Step 5: Solve for x
    x = 255,263,415,696/343,446
  6. Step 6: Final answer
    x = 743,241.78

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.