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Finding the Third Proportional to 298,328 and 417,108

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Solution

The third proportional to 298,328 and 417,108 is: 583,180.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,328 : 417,108 = 417,108 : x
  2. Step 2: Convert to fraction form
    298,328/417,108 = 417,108/x
  3. Step 3: Cross multiply
    298,328x = 417,108 × 417,108
  4. Step 4: Simplify right side
    298,328x = 173,979,083,664
  5. Step 5: Solve for x
    x = 173,979,083,664/298,328
  6. Step 6: Final answer
    x = 583,180.54

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.