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Finding the Third Proportional to 343,494 and 505,291

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Solution

The third proportional to 343,494 and 505,291 is: 743,299.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,494 : 505,291 = 505,291 : x
  2. Step 2: Convert to fraction form
    343,494/505,291 = 505,291/x
  3. Step 3: Cross multiply
    343,494x = 505,291 × 505,291
  4. Step 4: Simplify right side
    343,494x = 255,318,994,681
  5. Step 5: Solve for x
    x = 255,318,994,681/343,494
  6. Step 6: Final answer
    x = 743,299.72

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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.