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Finding the Third Proportional to 33,840.50 and 49,779.75

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Solution

The third proportional to 33,840.50 and 49,779.75 is: 73,226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,840.50 : 49,779.75 = 49,779.75 : x
  2. Step 2: Convert to fraction form
    33,840.50/49,779.75 = 49,779.75/x
  3. Step 3: Cross multiply
    33,840.50x = 49,779.75 × 49,779.75
  4. Step 4: Simplify right side
    33,840.50x = 2,478,023,510.06
  5. Step 5: Solve for x
    x = 2,478,023,510.06/33,840.50
  6. Step 6: Final answer
    x = 73,226.56

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.