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Finding the Third Proportional to 490,865.06 and 720,137.25

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Solution

The third proportional to 490,865.06 and 720,137.25 is: 1,056,497.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,865.06 : 720,137.25 = 720,137.25 : x
  2. Step 2: Convert to fraction form
    490,865.06/720,137.25 = 720,137.25/x
  3. Step 3: Cross multiply
    490,865.06x = 720,137.25 × 720,137.25
  4. Step 4: Simplify right side
    490,865.06x = 518,597,658,837.56
  5. Step 5: Solve for x
    x = 518,597,658,837.56/490,865.06
  6. Step 6: Final answer
    x = 1,056,497.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.