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Finding the Third Proportional to 343,453 and 505,248

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Solution

The third proportional to 343,453 and 505,248 is: 743,261.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,453 : 505,248 = 505,248 : x
  2. Step 2: Convert to fraction form
    343,453/505,248 = 505,248/x
  3. Step 3: Cross multiply
    343,453x = 505,248 × 505,248
  4. Step 4: Simplify right side
    343,453x = 255,275,541,504
  5. Step 5: Solve for x
    x = 255,275,541,504/343,453
  6. Step 6: Final answer
    x = 743,261.94

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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.