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Finding the Third Proportional to 50,327,379,800 and 78,142,851,480

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Solution

The third proportional to 50,327,379,800 and 78,142,851,480 is: 121,331,673,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,327,379,800 : 78,142,851,480 = 78,142,851,480 : x
  2. Step 2: Convert to fraction form
    50,327,379,800/78,142,851,480 = 78,142,851,480/x
  3. Step 3: Cross multiply
    50,327,379,800x = 78,142,851,480 × 78,142,851,480
  4. Step 4: Simplify right side
    50,327,379,800x = 6,106,305,237,425,338,712,064
  5. Step 5: Solve for x
    x = 6,106,305,237,425,338,712,064/50,327,379,800
  6. Step 6: Final answer
    x = 121,331,673,965.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.