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Finding the Third Proportional to 344,772 and 729,288

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Solution

The third proportional to 344,772 and 729,288 is: 1,542,645.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,772 : 729,288 = 729,288 : x
  2. Step 2: Convert to fraction form
    344,772/729,288 = 729,288/x
  3. Step 3: Cross multiply
    344,772x = 729,288 × 729,288
  4. Step 4: Simplify right side
    344,772x = 531,860,986,944
  5. Step 5: Solve for x
    x = 531,860,986,944/344,772
  6. Step 6: Final answer
    x = 1,542,645.54

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.