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Finding the Third Proportional to 344,354 and 505,299

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Solution

The third proportional to 344,354 and 505,299 is: 741,466.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,354 : 505,299 = 505,299 : x
  2. Step 2: Convert to fraction form
    344,354/505,299 = 505,299/x
  3. Step 3: Cross multiply
    344,354x = 505,299 × 505,299
  4. Step 4: Simplify right side
    344,354x = 255,327,079,401
  5. Step 5: Solve for x
    x = 255,327,079,401/344,354
  6. Step 6: Final answer
    x = 741,466.86

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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.