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Finding the Third Proportional to 53,821 and 80,749.50

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Solution

The third proportional to 53,821 and 80,749.50 is: 121,151.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,821 : 80,749.50 = 80,749.50 : x
  2. Step 2: Convert to fraction form
    53,821/80,749.50 = 80,749.50/x
  3. Step 3: Cross multiply
    53,821x = 80,749.50 × 80,749.50
  4. Step 4: Simplify right side
    53,821x = 6,520,481,750.25
  5. Step 5: Solve for x
    x = 6,520,481,750.25/53,821
  6. Step 6: Final answer
    x = 121,151.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.