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Finding the Third Proportional to 349,670 and 728,860

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Solution

The third proportional to 349,670 and 728,860 is: 1,519,252.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,670 : 728,860 = 728,860 : x
  2. Step 2: Convert to fraction form
    349,670/728,860 = 728,860/x
  3. Step 3: Cross multiply
    349,670x = 728,860 × 728,860
  4. Step 4: Simplify right side
    349,670x = 531,236,899,600
  5. Step 5: Solve for x
    x = 531,236,899,600/349,670
  6. Step 6: Final answer
    x = 1,519,252.15

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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.