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Finding the Third Proportional to 8,400,960 and 18,428,544

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Solution

The third proportional to 8,400,960 and 18,428,544 is: 40,425,288.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,400,960 : 18,428,544 = 18,428,544 : x
  2. Step 2: Convert to fraction form
    8,400,960/18,428,544 = 18,428,544/x
  3. Step 3: Cross multiply
    8,400,960x = 18,428,544 × 18,428,544
  4. Step 4: Simplify right side
    8,400,960x = 339,611,233,959,936
  5. Step 5: Solve for x
    x = 339,611,233,959,936/8,400,960
  6. Step 6: Final answer
    x = 40,425,288.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.