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Finding the Third Proportional to 3,251,140 and 7,145,824

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Solution

The third proportional to 3,251,140 and 7,145,824 is: 15,706,121.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,251,140 : 7,145,824 = 7,145,824 : x
  2. Step 2: Convert to fraction form
    3,251,140/7,145,824 = 7,145,824/x
  3. Step 3: Cross multiply
    3,251,140x = 7,145,824 × 7,145,824
  4. Step 4: Simplify right side
    3,251,140x = 51,062,800,638,976
  5. Step 5: Solve for x
    x = 51,062,800,638,976/3,251,140
  6. Step 6: Final answer
    x = 15,706,121.74

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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.