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Finding the Third Proportional to 3,117,638 and 7,284,213.50

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Solution

The third proportional to 3,117,638 and 7,284,213.50 is: 17,019,219.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,117,638 : 7,284,213.50 = 7,284,213.50 : x
  2. Step 2: Convert to fraction form
    3,117,638/7,284,213.50 = 7,284,213.50/x
  3. Step 3: Cross multiply
    3,117,638x = 7,284,213.50 × 7,284,213.50
  4. Step 4: Simplify right side
    3,117,638x = 53,059,766,313,582.25
  5. Step 5: Solve for x
    x = 53,059,766,313,582.25/3,117,638
  6. Step 6: Final answer
    x = 17,019,219.78

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.