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Finding the Third Proportional to 2,240,640 and 3,444,025

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Solution

The third proportional to 2,240,640 and 3,444,025 is: 5,293,714.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,240,640 : 3,444,025 = 3,444,025 : x
  2. Step 2: Convert to fraction form
    2,240,640/3,444,025 = 3,444,025/x
  3. Step 3: Cross multiply
    2,240,640x = 3,444,025 × 3,444,025
  4. Step 4: Simplify right side
    2,240,640x = 11,861,308,200,625
  5. Step 5: Solve for x
    x = 11,861,308,200,625/2,240,640
  6. Step 6: Final answer
    x = 5,293,714.39

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.