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Finding the Third Proportional to 3,621,469 and 5,432,645

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Solution

The third proportional to 3,621,469 and 5,432,645 is: 8,149,629.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,621,469 : 5,432,645 = 5,432,645 : x
  2. Step 2: Convert to fraction form
    3,621,469/5,432,645 = 5,432,645/x
  3. Step 3: Cross multiply
    3,621,469x = 5,432,645 × 5,432,645
  4. Step 4: Simplify right side
    3,621,469x = 29,513,631,696,025
  5. Step 5: Solve for x
    x = 29,513,631,696,025/3,621,469
  6. Step 6: Final answer
    x = 8,149,629.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.