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Finding the Third Proportional to 50,454 and 78,975

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Solution

The third proportional to 50,454 and 78,975 is: 123,618.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,454 : 78,975 = 78,975 : x
  2. Step 2: Convert to fraction form
    50,454/78,975 = 78,975/x
  3. Step 3: Cross multiply
    50,454x = 78,975 × 78,975
  4. Step 4: Simplify right side
    50,454x = 6,237,050,625
  5. Step 5: Solve for x
    x = 6,237,050,625/50,454
  6. Step 6: Final answer
    x = 123,618.56

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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.