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Finding the Third Proportional to 133,044,002 and 199,023,507

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Solution

The third proportional to 133,044,002 and 199,023,507 is: 297,723,728.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,044,002 : 199,023,507 = 199,023,507 : x
  2. Step 2: Convert to fraction form
    133,044,002/199,023,507 = 199,023,507/x
  3. Step 3: Cross multiply
    133,044,002x = 199,023,507 × 199,023,507
  4. Step 4: Simplify right side
    133,044,002x = 39,610,356,338,579,048
  5. Step 5: Solve for x
    x = 39,610,356,338,579,048/133,044,002
  6. Step 6: Final answer
    x = 297,723,728.56

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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.