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Finding the Third Proportional to 77,876.44 and 122,004.56

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Solution

The third proportional to 77,876.44 and 122,004.56 is: 191,137.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,876.44 : 122,004.56 = 122,004.56 : x
  2. Step 2: Convert to fraction form
    77,876.44/122,004.56 = 122,004.56/x
  3. Step 3: Cross multiply
    77,876.44x = 122,004.56 × 122,004.56
  4. Step 4: Simplify right side
    77,876.44x = 14,885,113,270.82
  5. Step 5: Solve for x
    x = 14,885,113,270.82/77,876.44
  6. Step 6: Final answer
    x = 191,137.57

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.