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Finding the Third Proportional to 378,234,744 and 828,213,456

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Solution

The third proportional to 378,234,744 and 828,213,456 is: 1,813,523,320.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,234,744 : 828,213,456 = 828,213,456 : x
  2. Step 2: Convert to fraction form
    378,234,744/828,213,456 = 828,213,456/x
  3. Step 3: Cross multiply
    378,234,744x = 828,213,456 × 828,213,456
  4. Step 4: Simplify right side
    378,234,744x = 685,937,528,699,463,936
  5. Step 5: Solve for x
    x = 685,937,528,699,463,936/378,234,744
  6. Step 6: Final answer
    x = 1,813,523,320.06

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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.