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Finding the Third Proportional to 343,775 and 757,291

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Solution

The third proportional to 343,775 and 757,291 is: 1,668,212.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,775 : 757,291 = 757,291 : x
  2. Step 2: Convert to fraction form
    343,775/757,291 = 757,291/x
  3. Step 3: Cross multiply
    343,775x = 757,291 × 757,291
  4. Step 4: Simplify right side
    343,775x = 573,489,658,681
  5. Step 5: Solve for x
    x = 573,489,658,681/343,775
  6. Step 6: Final answer
    x = 1,668,212.23

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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.