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Finding the Third Proportional to 149,722 and 323,431

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Solution

The third proportional to 149,722 and 323,431 is: 698,678.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,722 : 323,431 = 323,431 : x
  2. Step 2: Convert to fraction form
    149,722/323,431 = 323,431/x
  3. Step 3: Cross multiply
    149,722x = 323,431 × 323,431
  4. Step 4: Simplify right side
    149,722x = 104,607,611,761
  5. Step 5: Solve for x
    x = 104,607,611,761/149,722
  6. Step 6: Final answer
    x = 698,678.96

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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.