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Finding the Third Proportional to 682,910 and 1,475,238

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Solution

The third proportional to 682,910 and 1,475,238 is: 3,186,843.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,910 : 1,475,238 = 1,475,238 : x
  2. Step 2: Convert to fraction form
    682,910/1,475,238 = 1,475,238/x
  3. Step 3: Cross multiply
    682,910x = 1,475,238 × 1,475,238
  4. Step 4: Simplify right side
    682,910x = 2,176,327,156,644
  5. Step 5: Solve for x
    x = 2,176,327,156,644/682,910
  6. Step 6: Final answer
    x = 3,186,843.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.