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Finding the Third Proportional to 49,900.50 and 109,050.75

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Solution

The third proportional to 49,900.50 and 109,050.75 is: 238,315.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,900.50 : 109,050.75 = 109,050.75 : x
  2. Step 2: Convert to fraction form
    49,900.50/109,050.75 = 109,050.75/x
  3. Step 3: Cross multiply
    49,900.50x = 109,050.75 × 109,050.75
  4. Step 4: Simplify right side
    49,900.50x = 11,892,066,075.56
  5. Step 5: Solve for x
    x = 11,892,066,075.56/49,900.50
  6. Step 6: Final answer
    x = 238,315.57

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.