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Finding the Third Proportional to 331,873 and 728,258

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Solution

The third proportional to 331,873 and 728,258 is: 1,598,080.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,873 : 728,258 = 728,258 : x
  2. Step 2: Convert to fraction form
    331,873/728,258 = 728,258/x
  3. Step 3: Cross multiply
    331,873x = 728,258 × 728,258
  4. Step 4: Simplify right side
    331,873x = 530,359,714,564
  5. Step 5: Solve for x
    x = 530,359,714,564/331,873
  6. Step 6: Final answer
    x = 1,598,080.33

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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.