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Finding the Third Proportional to 51,018.75 and 79,191

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Solution

The third proportional to 51,018.75 and 79,191 is: 122,919.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,018.75 : 79,191 = 79,191 : x
  2. Step 2: Convert to fraction form
    51,018.75/79,191 = 79,191/x
  3. Step 3: Cross multiply
    51,018.75x = 79,191 × 79,191
  4. Step 4: Simplify right side
    51,018.75x = 6,271,214,481
  5. Step 5: Solve for x
    x = 6,271,214,481/51,018.75
  6. Step 6: Final answer
    x = 122,919.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.