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Finding the Third Proportional to 351,567 and 728,057

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Solution

The third proportional to 351,567 and 728,057 is: 1,507,726.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,567 : 728,057 = 728,057 : x
  2. Step 2: Convert to fraction form
    351,567/728,057 = 728,057/x
  3. Step 3: Cross multiply
    351,567x = 728,057 × 728,057
  4. Step 4: Simplify right side
    351,567x = 530,066,995,249
  5. Step 5: Solve for x
    x = 530,066,995,249/351,567
  6. Step 6: Final answer
    x = 1,507,726.82

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.