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Finding the Third Proportional to 149,397 and 322,122

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Solution

The third proportional to 149,397 and 322,122 is: 694,542.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,397 : 322,122 = 322,122 : x
  2. Step 2: Convert to fraction form
    149,397/322,122 = 322,122/x
  3. Step 3: Cross multiply
    149,397x = 322,122 × 322,122
  4. Step 4: Simplify right side
    149,397x = 103,762,582,884
  5. Step 5: Solve for x
    x = 103,762,582,884/149,397
  6. Step 6: Final answer
    x = 694,542.61

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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.