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Finding the Third Proportional to 202,446 and 444,258

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Solution

The third proportional to 202,446 and 444,258 is: 974,902.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,446 : 444,258 = 444,258 : x
  2. Step 2: Convert to fraction form
    202,446/444,258 = 444,258/x
  3. Step 3: Cross multiply
    202,446x = 444,258 × 444,258
  4. Step 4: Simplify right side
    202,446x = 197,365,170,564
  5. Step 5: Solve for x
    x = 197,365,170,564/202,446
  6. Step 6: Final answer
    x = 974,902.79

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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.