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Finding the Third Proportional to 55,956 and 109,078

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Solution

The third proportional to 55,956 and 109,078 is: 212,631.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,956 : 109,078 = 109,078 : x
  2. Step 2: Convert to fraction form
    55,956/109,078 = 109,078/x
  3. Step 3: Cross multiply
    55,956x = 109,078 × 109,078
  4. Step 4: Simplify right side
    55,956x = 11,898,010,084
  5. Step 5: Solve for x
    x = 11,898,010,084/55,956
  6. Step 6: Final answer
    x = 212,631.53

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.