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Finding the Third Proportional to 74,979 and 161,622

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Solution

The third proportional to 74,979 and 161,622 is: 348,386.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,979 : 161,622 = 161,622 : x
  2. Step 2: Convert to fraction form
    74,979/161,622 = 161,622/x
  3. Step 3: Cross multiply
    74,979x = 161,622 × 161,622
  4. Step 4: Simplify right side
    74,979x = 26,121,670,884
  5. Step 5: Solve for x
    x = 26,121,670,884/74,979
  6. Step 6: Final answer
    x = 348,386.49

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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.