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Finding the Third Proportional to 403,879.50 and 633,621

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Solution

The third proportional to 403,879.50 and 633,621 is: 994,047.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,879.50 : 633,621 = 633,621 : x
  2. Step 2: Convert to fraction form
    403,879.50/633,621 = 633,621/x
  3. Step 3: Cross multiply
    403,879.50x = 633,621 × 633,621
  4. Step 4: Simplify right side
    403,879.50x = 401,475,571,641
  5. Step 5: Solve for x
    x = 401,475,571,641/403,879.50
  6. Step 6: Final answer
    x = 994,047.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.