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Finding the Third Proportional to 349,743 and 755,309

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Solution

The third proportional to 349,743 and 755,309 is: 1,631,173.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,743 : 755,309 = 755,309 : x
  2. Step 2: Convert to fraction form
    349,743/755,309 = 755,309/x
  3. Step 3: Cross multiply
    349,743x = 755,309 × 755,309
  4. Step 4: Simplify right side
    349,743x = 570,491,685,481
  5. Step 5: Solve for x
    x = 570,491,685,481/349,743
  6. Step 6: Final answer
    x = 1,631,173.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.