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Finding the Third Proportional to 258,021 and 534,258

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Solution

The third proportional to 258,021 and 534,258 is: 1,106,234.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,021 : 534,258 = 534,258 : x
  2. Step 2: Convert to fraction form
    258,021/534,258 = 534,258/x
  3. Step 3: Cross multiply
    258,021x = 534,258 × 534,258
  4. Step 4: Simplify right side
    258,021x = 285,431,610,564
  5. Step 5: Solve for x
    x = 285,431,610,564/258,021
  6. Step 6: Final answer
    x = 1,106,234.03

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.