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Finding the Third Proportional to 56,756 and 122,172

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Solution

The third proportional to 56,756 and 122,172 is: 262,985.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,756 : 122,172 = 122,172 : x
  2. Step 2: Convert to fraction form
    56,756/122,172 = 122,172/x
  3. Step 3: Cross multiply
    56,756x = 122,172 × 122,172
  4. Step 4: Simplify right side
    56,756x = 14,925,997,584
  5. Step 5: Solve for x
    x = 14,925,997,584/56,756
  6. Step 6: Final answer
    x = 262,985.37

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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.