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Finding the Third Proportional to 106,480 and 231,848

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Solution

The third proportional to 106,480 and 231,848 is: 504,822.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,480 : 231,848 = 231,848 : x
  2. Step 2: Convert to fraction form
    106,480/231,848 = 231,848/x
  3. Step 3: Cross multiply
    106,480x = 231,848 × 231,848
  4. Step 4: Simplify right side
    106,480x = 53,753,495,104
  5. Step 5: Solve for x
    x = 53,753,495,104/106,480
  6. Step 6: Final answer
    x = 504,822.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.