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Finding the Third Proportional to 4,100,463 and 9,492,629.63

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Solution

The third proportional to 4,100,463 and 9,492,629.63 is: 21,975,571.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100,463 : 9,492,629.63 = 9,492,629.63 : x
  2. Step 2: Convert to fraction form
    4,100,463/9,492,629.63 = 9,492,629.63/x
  3. Step 3: Cross multiply
    4,100,463x = 9,492,629.63 × 9,492,629.63
  4. Step 4: Simplify right side
    4,100,463x = 90,110,017,197,427.64
  5. Step 5: Solve for x
    x = 90,110,017,197,427.64/4,100,463
  6. Step 6: Final answer
    x = 21,975,571.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.