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Finding the Third Proportional to 106,056 and 232,848

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Solution

The third proportional to 106,056 and 232,848 is: 511,222.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,056 : 232,848 = 232,848 : x
  2. Step 2: Convert to fraction form
    106,056/232,848 = 232,848/x
  3. Step 3: Cross multiply
    106,056x = 232,848 × 232,848
  4. Step 4: Simplify right side
    106,056x = 54,218,191,104
  5. Step 5: Solve for x
    x = 54,218,191,104/106,056
  6. Step 6: Final answer
    x = 511,222.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.