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Finding the Third Proportional to 78,844 and 122,964

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Solution

The third proportional to 78,844 and 122,964 is: 191,772.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,844 : 122,964 = 122,964 : x
  2. Step 2: Convert to fraction form
    78,844/122,964 = 122,964/x
  3. Step 3: Cross multiply
    78,844x = 122,964 × 122,964
  4. Step 4: Simplify right side
    78,844x = 15,120,145,296
  5. Step 5: Solve for x
    x = 15,120,145,296/78,844
  6. Step 6: Final answer
    x = 191,772.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.