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Finding the Third Proportional to 421,178 and 994,258

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Solution

The third proportional to 421,178 and 994,258 is: 2,347,104.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,178 : 994,258 = 994,258 : x
  2. Step 2: Convert to fraction form
    421,178/994,258 = 994,258/x
  3. Step 3: Cross multiply
    421,178x = 994,258 × 994,258
  4. Step 4: Simplify right side
    421,178x = 988,548,970,564
  5. Step 5: Solve for x
    x = 988,548,970,564/421,178
  6. Step 6: Final answer
    x = 2,347,104.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.