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Finding the Third Proportional to 69,512 and 149,824

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Solution

The third proportional to 69,512 and 149,824 is: 322,925.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,512 : 149,824 = 149,824 : x
  2. Step 2: Convert to fraction form
    69,512/149,824 = 149,824/x
  3. Step 3: Cross multiply
    69,512x = 149,824 × 149,824
  4. Step 4: Simplify right side
    69,512x = 22,447,230,976
  5. Step 5: Solve for x
    x = 22,447,230,976/69,512
  6. Step 6: Final answer
    x = 322,925.98

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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.