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Finding the Third Proportional to 349,676 and 728,872

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Solution

The third proportional to 349,676 and 728,872 is: 1,519,276.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,676 : 728,872 = 728,872 : x
  2. Step 2: Convert to fraction form
    349,676/728,872 = 728,872/x
  3. Step 3: Cross multiply
    349,676x = 728,872 × 728,872
  4. Step 4: Simplify right side
    349,676x = 531,254,392,384
  5. Step 5: Solve for x
    x = 531,254,392,384/349,676
  6. Step 6: Final answer
    x = 1,519,276.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.