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Finding the Third Proportional to 312,879 and 484,690

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Solution

The third proportional to 312,879 and 484,690 is: 750,847.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,879 : 484,690 = 484,690 : x
  2. Step 2: Convert to fraction form
    312,879/484,690 = 484,690/x
  3. Step 3: Cross multiply
    312,879x = 484,690 × 484,690
  4. Step 4: Simplify right side
    312,879x = 234,924,396,100
  5. Step 5: Solve for x
    x = 234,924,396,100/312,879
  6. Step 6: Final answer
    x = 750,847.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.