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Finding the Third Proportional to 149,245 and 322,546

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Solution

The third proportional to 149,245 and 322,546 is: 697,081.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,245 : 322,546 = 322,546 : x
  2. Step 2: Convert to fraction form
    149,245/322,546 = 322,546/x
  3. Step 3: Cross multiply
    149,245x = 322,546 × 322,546
  4. Step 4: Simplify right side
    149,245x = 104,035,922,116
  5. Step 5: Solve for x
    x = 104,035,922,116/149,245
  6. Step 6: Final answer
    x = 697,081.46

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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.