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Finding the Third Proportional to 50,481 and 79,194.50

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Solution

The third proportional to 50,481 and 79,194.50 is: 124,240.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,481 : 79,194.50 = 79,194.50 : x
  2. Step 2: Convert to fraction form
    50,481/79,194.50 = 79,194.50/x
  3. Step 3: Cross multiply
    50,481x = 79,194.50 × 79,194.50
  4. Step 4: Simplify right side
    50,481x = 6,271,768,830.25
  5. Step 5: Solve for x
    x = 6,271,768,830.25/50,481
  6. Step 6: Final answer
    x = 124,240.19

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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.