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Finding the Third Proportional to 72,305 and 161,211

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Solution

The third proportional to 72,305 and 161,211 is: 359,435.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,305 : 161,211 = 161,211 : x
  2. Step 2: Convert to fraction form
    72,305/161,211 = 161,211/x
  3. Step 3: Cross multiply
    72,305x = 161,211 × 161,211
  4. Step 4: Simplify right side
    72,305x = 25,988,986,521
  5. Step 5: Solve for x
    x = 25,988,986,521/72,305
  6. Step 6: Final answer
    x = 359,435.54

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.