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Finding the Third Proportional to 343,485 and 505,278

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Solution

The third proportional to 343,485 and 505,278 is: 743,280.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,485 : 505,278 = 505,278 : x
  2. Step 2: Convert to fraction form
    343,485/505,278 = 505,278/x
  3. Step 3: Cross multiply
    343,485x = 505,278 × 505,278
  4. Step 4: Simplify right side
    343,485x = 255,305,857,284
  5. Step 5: Solve for x
    x = 255,305,857,284/343,485
  6. Step 6: Final answer
    x = 743,280.95

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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.