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Finding the Third Proportional to 441,408,022 and 946,191,301

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Solution

The third proportional to 441,408,022 and 946,191,301 is: 2,028,232,232.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,408,022 : 946,191,301 = 946,191,301 : x
  2. Step 2: Convert to fraction form
    441,408,022/946,191,301 = 946,191,301/x
  3. Step 3: Cross multiply
    441,408,022x = 946,191,301 × 946,191,301
  4. Step 4: Simplify right side
    441,408,022x = 895,277,978,088,072,576
  5. Step 5: Solve for x
    x = 895,277,978,088,072,576/441,408,022
  6. Step 6: Final answer
    x = 2,028,232,232.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.