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Finding the Third Proportional to 148,668 and 320,664

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Solution

The third proportional to 148,668 and 320,664 is: 691,644.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,668 : 320,664 = 320,664 : x
  2. Step 2: Convert to fraction form
    148,668/320,664 = 320,664/x
  3. Step 3: Cross multiply
    148,668x = 320,664 × 320,664
  4. Step 4: Simplify right side
    148,668x = 102,825,400,896
  5. Step 5: Solve for x
    x = 102,825,400,896/148,668
  6. Step 6: Final answer
    x = 691,644.48

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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.