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Finding the Third Proportional to 74,078 and 159,739

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Solution

The third proportional to 74,078 and 159,739 is: 344,455.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,078 : 159,739 = 159,739 : x
  2. Step 2: Convert to fraction form
    74,078/159,739 = 159,739/x
  3. Step 3: Cross multiply
    74,078x = 159,739 × 159,739
  4. Step 4: Simplify right side
    74,078x = 25,516,548,121
  5. Step 5: Solve for x
    x = 25,516,548,121/74,078
  6. Step 6: Final answer
    x = 344,455.14

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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.