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Finding the Third Proportional to 53,848 and 110,383

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Solution

The third proportional to 53,848 and 110,383 is: 226,274.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,848 : 110,383 = 110,383 : x
  2. Step 2: Convert to fraction form
    53,848/110,383 = 110,383/x
  3. Step 3: Cross multiply
    53,848x = 110,383 × 110,383
  4. Step 4: Simplify right side
    53,848x = 12,184,406,689
  5. Step 5: Solve for x
    x = 12,184,406,689/53,848
  6. Step 6: Final answer
    x = 226,274.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.