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Finding the Third Proportional to 133,044,006 and 199,023,513

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Solution

The third proportional to 133,044,006 and 199,023,513 is: 297,723,737.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,044,006 : 199,023,513 = 199,023,513 : x
  2. Step 2: Convert to fraction form
    133,044,006/199,023,513 = 199,023,513/x
  3. Step 3: Cross multiply
    133,044,006x = 199,023,513 × 199,023,513
  4. Step 4: Simplify right side
    133,044,006x = 39,610,358,726,861,168
  5. Step 5: Solve for x
    x = 39,610,358,726,861,168/133,044,006
  6. Step 6: Final answer
    x = 297,723,737.56

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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.