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Finding the Third Proportional to 258,242 and 379,485

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Solution

The third proportional to 258,242 and 379,485 is: 557,650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,242 : 379,485 = 379,485 : x
  2. Step 2: Convert to fraction form
    258,242/379,485 = 379,485/x
  3. Step 3: Cross multiply
    258,242x = 379,485 × 379,485
  4. Step 4: Simplify right side
    258,242x = 144,008,865,225
  5. Step 5: Solve for x
    x = 144,008,865,225/258,242
  6. Step 6: Final answer
    x = 557,650.83

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.