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Finding the Third Proportional to 394,376 and 863,370

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Solution

The third proportional to 394,376 and 863,370 is: 1,890,094.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,376 : 863,370 = 863,370 : x
  2. Step 2: Convert to fraction form
    394,376/863,370 = 863,370/x
  3. Step 3: Cross multiply
    394,376x = 863,370 × 863,370
  4. Step 4: Simplify right side
    394,376x = 745,407,756,900
  5. Step 5: Solve for x
    x = 745,407,756,900/394,376
  6. Step 6: Final answer
    x = 1,890,094.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.