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Finding the Third Proportional to 4,709,505 and 10,171,821

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Solution

The third proportional to 4,709,505 and 10,171,821 is: 21,969,600.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709,505 : 10,171,821 = 10,171,821 : x
  2. Step 2: Convert to fraction form
    4,709,505/10,171,821 = 10,171,821/x
  3. Step 3: Cross multiply
    4,709,505x = 10,171,821 × 10,171,821
  4. Step 4: Simplify right side
    4,709,505x = 103,465,942,456,041
  5. Step 5: Solve for x
    x = 103,465,942,456,041/4,709,505
  6. Step 6: Final answer
    x = 21,969,600.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.