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Finding the Third Proportional to 343,966.50 and 505,839

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Solution

The third proportional to 343,966.50 and 505,839 is: 743,889.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,966.50 : 505,839 = 505,839 : x
  2. Step 2: Convert to fraction form
    343,966.50/505,839 = 505,839/x
  3. Step 3: Cross multiply
    343,966.50x = 505,839 × 505,839
  4. Step 4: Simplify right side
    343,966.50x = 255,873,093,921
  5. Step 5: Solve for x
    x = 255,873,093,921/343,966.50
  6. Step 6: Final answer
    x = 743,889.58

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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.