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Finding the Third Proportional to 343,778 and 757,296

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Solution

The third proportional to 343,778 and 757,296 is: 1,668,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,778 : 757,296 = 757,296 : x
  2. Step 2: Convert to fraction form
    343,778/757,296 = 757,296/x
  3. Step 3: Cross multiply
    343,778x = 757,296 × 757,296
  4. Step 4: Simplify right side
    343,778x = 573,497,231,616
  5. Step 5: Solve for x
    x = 573,497,231,616/343,778
  6. Step 6: Final answer
    x = 1,668,219.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.