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Finding the Third Proportional to 3,783,184.50 and 5,308,557

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Solution

The third proportional to 3,783,184.50 and 5,308,557 is: 7,448,956.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783,184.50 : 5,308,557 = 5,308,557 : x
  2. Step 2: Convert to fraction form
    3,783,184.50/5,308,557 = 5,308,557/x
  3. Step 3: Cross multiply
    3,783,184.50x = 5,308,557 × 5,308,557
  4. Step 4: Simplify right side
    3,783,184.50x = 28,180,777,422,249
  5. Step 5: Solve for x
    x = 28,180,777,422,249/3,783,184.50
  6. Step 6: Final answer
    x = 7,448,956.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.