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Finding the Third Proportional to 2,846,200.50 and 6,146,843.63

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Solution

The third proportional to 2,846,200.50 and 6,146,843.63 is: 13,275,131.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,846,200.50 : 6,146,843.63 = 6,146,843.63 : x
  2. Step 2: Convert to fraction form
    2,846,200.50/6,146,843.63 = 6,146,843.63/x
  3. Step 3: Cross multiply
    2,846,200.50x = 6,146,843.63 × 6,146,843.63
  4. Step 4: Simplify right side
    2,846,200.50x = 37,783,686,550,203.14
  5. Step 5: Solve for x
    x = 37,783,686,550,203.14/2,846,200.50
  6. Step 6: Final answer
    x = 13,275,131.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.