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Finding the Third Proportional to 305,745.38 and 648,486.38

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Solution

The third proportional to 305,745.38 and 648,486.38 is: 1,375,440.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,745.38 : 648,486.38 = 648,486.38 : x
  2. Step 2: Convert to fraction form
    305,745.38/648,486.38 = 648,486.38/x
  3. Step 3: Cross multiply
    305,745.38x = 648,486.38 × 648,486.38
  4. Step 4: Simplify right side
    305,745.38x = 420,534,578,560.64
  5. Step 5: Solve for x
    x = 420,534,578,560.64/305,745.38
  6. Step 6: Final answer
    x = 1,375,440.52

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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.