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Finding the Third Proportional to 64,992 and 139,848

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Solution

The third proportional to 64,992 and 139,848 is: 300,921.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,992 : 139,848 = 139,848 : x
  2. Step 2: Convert to fraction form
    64,992/139,848 = 139,848/x
  3. Step 3: Cross multiply
    64,992x = 139,848 × 139,848
  4. Step 4: Simplify right side
    64,992x = 19,557,463,104
  5. Step 5: Solve for x
    x = 19,557,463,104/64,992
  6. Step 6: Final answer
    x = 300,921.08

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.