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Finding the Third Proportional to 343,450 and 505,242

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Solution

The third proportional to 343,450 and 505,242 is: 743,250.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,450 : 505,242 = 505,242 : x
  2. Step 2: Convert to fraction form
    343,450/505,242 = 505,242/x
  3. Step 3: Cross multiply
    343,450x = 505,242 × 505,242
  4. Step 4: Simplify right side
    343,450x = 255,269,478,564
  5. Step 5: Solve for x
    x = 255,269,478,564/343,450
  6. Step 6: Final answer
    x = 743,250.77

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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.