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Finding the Third Proportional to 149,971 and 354,029

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Solution

The third proportional to 149,971 and 354,029 is: 835,738.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,971 : 354,029 = 354,029 : x
  2. Step 2: Convert to fraction form
    149,971/354,029 = 354,029/x
  3. Step 3: Cross multiply
    149,971x = 354,029 × 354,029
  4. Step 4: Simplify right side
    149,971x = 125,336,532,841
  5. Step 5: Solve for x
    x = 125,336,532,841/149,971
  6. Step 6: Final answer
    x = 835,738.46

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.