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Finding the Third Proportional to 311,020,692 and 668,197,605

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Solution

The third proportional to 311,020,692 and 668,197,605 is: 1,435,557,346.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,020,692 : 668,197,605 = 668,197,605 : x
  2. Step 2: Convert to fraction form
    311,020,692/668,197,605 = 668,197,605/x
  3. Step 3: Cross multiply
    311,020,692x = 668,197,605 × 668,197,605
  4. Step 4: Simplify right side
    311,020,692x = 446,488,039,327,736,000
  5. Step 5: Solve for x
    x = 446,488,039,327,736,000/311,020,692
  6. Step 6: Final answer
    x = 1,435,557,346.54

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.