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Finding the Third Proportional to 53,750 and 80,679

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Solution

The third proportional to 53,750 and 80,679 is: 121,099.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,750 : 80,679 = 80,679 : x
  2. Step 2: Convert to fraction form
    53,750/80,679 = 80,679/x
  3. Step 3: Cross multiply
    53,750x = 80,679 × 80,679
  4. Step 4: Simplify right side
    53,750x = 6,509,101,041
  5. Step 5: Solve for x
    x = 6,509,101,041/53,750
  6. Step 6: Final answer
    x = 121,099.55

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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.