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Finding the Third Proportional to 49,384.50 and 78,450.75

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Solution

The third proportional to 49,384.50 and 78,450.75 is: 124,624.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,384.50 : 78,450.75 = 78,450.75 : x
  2. Step 2: Convert to fraction form
    49,384.50/78,450.75 = 78,450.75/x
  3. Step 3: Cross multiply
    49,384.50x = 78,450.75 × 78,450.75
  4. Step 4: Simplify right side
    49,384.50x = 6,154,520,175.56
  5. Step 5: Solve for x
    x = 6,154,520,175.56/49,384.50
  6. Step 6: Final answer
    x = 124,624.53

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.