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Finding the Third Proportional to 103,920 and 223,284

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Solution

The third proportional to 103,920 and 223,284 is: 479,751.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,920 : 223,284 = 223,284 : x
  2. Step 2: Convert to fraction form
    103,920/223,284 = 223,284/x
  3. Step 3: Cross multiply
    103,920x = 223,284 × 223,284
  4. Step 4: Simplify right side
    103,920x = 49,855,744,656
  5. Step 5: Solve for x
    x = 49,855,744,656/103,920
  6. Step 6: Final answer
    x = 479,751.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.