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Finding the Third Proportional to 311,058 and 728,397

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Solution

The third proportional to 311,058 and 728,397 is: 1,705,669.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,058 : 728,397 = 728,397 : x
  2. Step 2: Convert to fraction form
    311,058/728,397 = 728,397/x
  3. Step 3: Cross multiply
    311,058x = 728,397 × 728,397
  4. Step 4: Simplify right side
    311,058x = 530,562,189,609
  5. Step 5: Solve for x
    x = 530,562,189,609/311,058
  6. Step 6: Final answer
    x = 1,705,669.65

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.