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Finding the Third Proportional to 74,702 and 159,388

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Solution

The third proportional to 74,702 and 159,388 is: 340,078.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,702 : 159,388 = 159,388 : x
  2. Step 2: Convert to fraction form
    74,702/159,388 = 159,388/x
  3. Step 3: Cross multiply
    74,702x = 159,388 × 159,388
  4. Step 4: Simplify right side
    74,702x = 25,404,534,544
  5. Step 5: Solve for x
    x = 25,404,534,544/74,702
  6. Step 6: Final answer
    x = 340,078.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.