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Finding the Third Proportional to 13,749,774 and 30,245,200.50

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Solution

The third proportional to 13,749,774 and 30,245,200.50 is: 66,529,977.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,749,774 : 30,245,200.50 = 30,245,200.50 : x
  2. Step 2: Convert to fraction form
    13,749,774/30,245,200.50 = 30,245,200.50/x
  3. Step 3: Cross multiply
    13,749,774x = 30,245,200.50 × 30,245,200.50
  4. Step 4: Simplify right side
    13,749,774x = 914,772,153,285,200.25
  5. Step 5: Solve for x
    x = 914,772,153,285,200.25/13,749,774
  6. Step 6: Final answer
    x = 66,529,977.39

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.