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Finding the Third Proportional to 397,083 and 856,374

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Solution

The third proportional to 397,083 and 856,374 is: 1,846,909.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,083 : 856,374 = 856,374 : x
  2. Step 2: Convert to fraction form
    397,083/856,374 = 856,374/x
  3. Step 3: Cross multiply
    397,083x = 856,374 × 856,374
  4. Step 4: Simplify right side
    397,083x = 733,376,427,876
  5. Step 5: Solve for x
    x = 733,376,427,876/397,083
  6. Step 6: Final answer
    x = 1,846,909.66

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Why These Related Problems?

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