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Finding the Third Proportional to 343,996 and 505,883

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Solution

The third proportional to 343,996 and 505,883 is: 743,955.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,996 : 505,883 = 505,883 : x
  2. Step 2: Convert to fraction form
    343,996/505,883 = 505,883/x
  3. Step 3: Cross multiply
    343,996x = 505,883 × 505,883
  4. Step 4: Simplify right side
    343,996x = 255,917,609,689
  5. Step 5: Solve for x
    x = 255,917,609,689/343,996
  6. Step 6: Final answer
    x = 743,955.19

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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.