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Finding the Third Proportional to 75,044,734,310.50 and 114,325,461,757

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Solution

The third proportional to 75,044,734,310.50 and 114,325,461,757 is: 174,166,932,910.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,044,734,310.50 : 114,325,461,757 = 114,325,461,757 : x
  2. Step 2: Convert to fraction form
    75,044,734,310.50/114,325,461,757 = 114,325,461,757/x
  3. Step 3: Cross multiply
    75,044,734,310.50x = 114,325,461,757 × 114,325,461,757
  4. Step 4: Simplify right side
    75,044,734,310.50x = 13,070,311,205,951,269,502,976
  5. Step 5: Solve for x
    x = 13,070,311,205,951,269,502,976/75,044,734,310.50
  6. Step 6: Final answer
    x = 174,166,932,910.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.