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Finding the Third Proportional to 311,704,551.84 and 677,664,523.69

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Solution

The third proportional to 311,704,551.84 and 677,664,523.69 is: 1,473,283,607.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,704,551.84 : 677,664,523.69 = 677,664,523.69 : x
  2. Step 2: Convert to fraction form
    311,704,551.84/677,664,523.69 = 677,664,523.69/x
  3. Step 3: Cross multiply
    311,704,551.84x = 677,664,523.69 × 677,664,523.69
  4. Step 4: Simplify right side
    311,704,551.84x = 459,229,206,664,606,272
  5. Step 5: Solve for x
    x = 459,229,206,664,606,272/311,704,551.84
  6. Step 6: Final answer
    x = 1,473,283,607.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.