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Finding the Third Proportional to 74,782 and 161,305

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Solution

The third proportional to 74,782 and 161,305 is: 347,935.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,782 : 161,305 = 161,305 : x
  2. Step 2: Convert to fraction form
    74,782/161,305 = 161,305/x
  3. Step 3: Cross multiply
    74,782x = 161,305 × 161,305
  4. Step 4: Simplify right side
    74,782x = 26,019,303,025
  5. Step 5: Solve for x
    x = 26,019,303,025/74,782
  6. Step 6: Final answer
    x = 347,935.37

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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.