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Finding the Third Proportional to 51,821 and 80,021.50

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Solution

The third proportional to 51,821 and 80,021.50 is: 123,568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,821 : 80,021.50 = 80,021.50 : x
  2. Step 2: Convert to fraction form
    51,821/80,021.50 = 80,021.50/x
  3. Step 3: Cross multiply
    51,821x = 80,021.50 × 80,021.50
  4. Step 4: Simplify right side
    51,821x = 6,403,440,462.25
  5. Step 5: Solve for x
    x = 6,403,440,462.25/51,821
  6. Step 6: Final answer
    x = 123,568.45

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.