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Finding the Third Proportional to 409,861,485 and 878,299,578

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Solution

The third proportional to 409,861,485 and 878,299,578 is: 1,882,124,027.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,861,485 : 878,299,578 = 878,299,578 : x
  2. Step 2: Convert to fraction form
    409,861,485/878,299,578 = 878,299,578/x
  3. Step 3: Cross multiply
    409,861,485x = 878,299,578 × 878,299,578
  4. Step 4: Simplify right side
    409,861,485x = 771,410,148,714,978,048
  5. Step 5: Solve for x
    x = 771,410,148,714,978,048/409,861,485
  6. Step 6: Final answer
    x = 1,882,124,027.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.