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Finding the Third Proportional to 148,640 and 320,500

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Solution

The third proportional to 148,640 and 320,500 is: 691,067.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,640 : 320,500 = 320,500 : x
  2. Step 2: Convert to fraction form
    148,640/320,500 = 320,500/x
  3. Step 3: Cross multiply
    148,640x = 320,500 × 320,500
  4. Step 4: Simplify right side
    148,640x = 102,720,250,000
  5. Step 5: Solve for x
    x = 102,720,250,000/148,640
  6. Step 6: Final answer
    x = 691,067.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.