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Finding the Third Proportional to 149,000 and 323,398

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Solution

The third proportional to 149,000 and 323,398 is: 701,921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,000 : 323,398 = 323,398 : x
  2. Step 2: Convert to fraction form
    149,000/323,398 = 323,398/x
  3. Step 3: Cross multiply
    149,000x = 323,398 × 323,398
  4. Step 4: Simplify right side
    149,000x = 104,586,266,404
  5. Step 5: Solve for x
    x = 104,586,266,404/149,000
  6. Step 6: Final answer
    x = 701,921.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.