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Finding the Third Proportional to 7,829,340 and 17,198,328

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Solution

The third proportional to 7,829,340 and 17,198,328 is: 37,778,725.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,829,340 : 17,198,328 = 17,198,328 : x
  2. Step 2: Convert to fraction form
    7,829,340/17,198,328 = 17,198,328/x
  3. Step 3: Cross multiply
    7,829,340x = 17,198,328 × 17,198,328
  4. Step 4: Simplify right side
    7,829,340x = 295,782,485,995,584
  5. Step 5: Solve for x
    x = 295,782,485,995,584/7,829,340
  6. Step 6: Final answer
    x = 37,778,725.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.