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Finding the Third Proportional to 3,200,186 and 4,501,463

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Solution

The third proportional to 3,200,186 and 4,501,463 is: 6,331,872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,200,186 : 4,501,463 = 4,501,463 : x
  2. Step 2: Convert to fraction form
    3,200,186/4,501,463 = 4,501,463/x
  3. Step 3: Cross multiply
    3,200,186x = 4,501,463 × 4,501,463
  4. Step 4: Simplify right side
    3,200,186x = 20,263,169,140,369
  5. Step 5: Solve for x
    x = 20,263,169,140,369/3,200,186
  6. Step 6: Final answer
    x = 6,331,872.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.