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Finding the Third Proportional to 287,105,821.88 and 629,795,949.75

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Solution

The third proportional to 287,105,821.88 and 629,795,949.75 is: 1,381,521,752.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,105,821.88 : 629,795,949.75 = 629,795,949.75 : x
  2. Step 2: Convert to fraction form
    287,105,821.88/629,795,949.75 = 629,795,949.75/x
  3. Step 3: Cross multiply
    287,105,821.88x = 629,795,949.75 × 629,795,949.75
  4. Step 4: Simplify right side
    287,105,821.88x = 396,642,938,321,504,512
  5. Step 5: Solve for x
    x = 396,642,938,321,504,512/287,105,821.88
  6. Step 6: Final answer
    x = 1,381,521,752.96

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.