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Finding the Third Proportional to 74,969 and 161,054

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Solution

The third proportional to 74,969 and 161,054 is: 345,988.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,969 : 161,054 = 161,054 : x
  2. Step 2: Convert to fraction form
    74,969/161,054 = 161,054/x
  3. Step 3: Cross multiply
    74,969x = 161,054 × 161,054
  4. Step 4: Simplify right side
    74,969x = 25,938,390,916
  5. Step 5: Solve for x
    x = 25,938,390,916/74,969
  6. Step 6: Final answer
    x = 345,988.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.