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Finding the Third Proportional to 4,210,100 and 8,860,324

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Solution

The third proportional to 4,210,100 and 8,860,324 is: 18,646,906.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210,100 : 8,860,324 = 8,860,324 : x
  2. Step 2: Convert to fraction form
    4,210,100/8,860,324 = 8,860,324/x
  3. Step 3: Cross multiply
    4,210,100x = 8,860,324 × 8,860,324
  4. Step 4: Simplify right side
    4,210,100x = 78,505,341,384,976
  5. Step 5: Solve for x
    x = 78,505,341,384,976/4,210,100
  6. Step 6: Final answer
    x = 18,646,906.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.