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Finding the Third Proportional to 33,819 and 48,712.50

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Solution

The third proportional to 33,819 and 48,712.50 is: 70,164.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,819 : 48,712.50 = 48,712.50 : x
  2. Step 2: Convert to fraction form
    33,819/48,712.50 = 48,712.50/x
  3. Step 3: Cross multiply
    33,819x = 48,712.50 × 48,712.50
  4. Step 4: Simplify right side
    33,819x = 2,372,907,656.25
  5. Step 5: Solve for x
    x = 2,372,907,656.25/33,819
  6. Step 6: Final answer
    x = 70,164.93

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.