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Finding the Third Proportional to 133,043,954 and 199,023,435

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Solution

The third proportional to 133,043,954 and 199,023,435 is: 297,723,620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,043,954 : 199,023,435 = 199,023,435 : x
  2. Step 2: Convert to fraction form
    133,043,954/199,023,435 = 199,023,435/x
  3. Step 3: Cross multiply
    133,043,954x = 199,023,435 × 199,023,435
  4. Step 4: Simplify right side
    133,043,954x = 39,610,327,679,199,224
  5. Step 5: Solve for x
    x = 39,610,327,679,199,224/133,043,954
  6. Step 6: Final answer
    x = 297,723,620.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.