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Finding the Third Proportional to 855,427 and 1,837,215

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Solution

The third proportional to 855,427 and 1,837,215 is: 3,945,817.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    855,427 : 1,837,215 = 1,837,215 : x
  2. Step 2: Convert to fraction form
    855,427/1,837,215 = 1,837,215/x
  3. Step 3: Cross multiply
    855,427x = 1,837,215 × 1,837,215
  4. Step 4: Simplify right side
    855,427x = 3,375,358,956,225
  5. Step 5: Solve for x
    x = 3,375,358,956,225/855,427
  6. Step 6: Final answer
    x = 3,945,817.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.