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Finding the Third Proportional to 258,025 and 379,450

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Solution

The third proportional to 258,025 and 379,450 is: 558,016.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,025 : 379,450 = 379,450 : x
  2. Step 2: Convert to fraction form
    258,025/379,450 = 379,450/x
  3. Step 3: Cross multiply
    258,025x = 379,450 × 379,450
  4. Step 4: Simplify right side
    258,025x = 143,982,302,500
  5. Step 5: Solve for x
    x = 143,982,302,500/258,025
  6. Step 6: Final answer
    x = 558,016.87

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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.