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Finding the Third Proportional to 205,314,379 and 427,611,866

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Solution

The third proportional to 205,314,379 and 427,611,866 is: 890,594,749.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,314,379 : 427,611,866 = 427,611,866 : x
  2. Step 2: Convert to fraction form
    205,314,379/427,611,866 = 427,611,866/x
  3. Step 3: Cross multiply
    205,314,379x = 427,611,866 × 427,611,866
  4. Step 4: Simplify right side
    205,314,379x = 182,851,907,944,001,952
  5. Step 5: Solve for x
    x = 182,851,907,944,001,952/205,314,379
  6. Step 6: Final answer
    x = 890,594,749.55

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.