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Finding the Third Proportional to 490,855.50 and 720,117

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Solution

The third proportional to 490,855.50 and 720,117 is: 1,056,458.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,855.50 : 720,117 = 720,117 : x
  2. Step 2: Convert to fraction form
    490,855.50/720,117 = 720,117/x
  3. Step 3: Cross multiply
    490,855.50x = 720,117 × 720,117
  4. Step 4: Simplify right side
    490,855.50x = 518,568,493,689
  5. Step 5: Solve for x
    x = 518,568,493,689/490,855.50
  6. Step 6: Final answer
    x = 1,056,458.56

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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.