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Finding the Third Proportional to 287,381,985.75 and 629,170,183.13

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Solution

The third proportional to 287,381,985.75 and 629,170,183.13 is: 1,377,452,794.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,381,985.75 : 629,170,183.13 = 629,170,183.13 : x
  2. Step 2: Convert to fraction form
    287,381,985.75/629,170,183.13 = 629,170,183.13/x
  3. Step 3: Cross multiply
    287,381,985.75x = 629,170,183.13 × 629,170,183.13
  4. Step 4: Simplify right side
    287,381,985.75x = 395,855,119,333,546,048
  5. Step 5: Solve for x
    x = 395,855,119,333,546,048/287,381,985.75
  6. Step 6: Final answer
    x = 1,377,452,794.41

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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.