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Finding the Third Proportional to 148,920 and 324,108

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Solution

The third proportional to 148,920 and 324,108 is: 705,385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,920 : 324,108 = 324,108 : x
  2. Step 2: Convert to fraction form
    148,920/324,108 = 324,108/x
  3. Step 3: Cross multiply
    148,920x = 324,108 × 324,108
  4. Step 4: Simplify right side
    148,920x = 105,045,995,664
  5. Step 5: Solve for x
    x = 105,045,995,664/148,920
  6. Step 6: Final answer
    x = 705,385.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.