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Finding the Third Proportional to 218,512.75 and 475,480

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Solution

The third proportional to 218,512.75 and 475,480 is: 1,034,636.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,512.75 : 475,480 = 475,480 : x
  2. Step 2: Convert to fraction form
    218,512.75/475,480 = 475,480/x
  3. Step 3: Cross multiply
    218,512.75x = 475,480 × 475,480
  4. Step 4: Simplify right side
    218,512.75x = 226,081,230,400
  5. Step 5: Solve for x
    x = 226,081,230,400/218,512.75
  6. Step 6: Final answer
    x = 1,034,636.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.