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Finding the Third Proportional to 409,861,489 and 878,299,586

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Solution

The third proportional to 409,861,489 and 878,299,586 is: 1,882,124,043.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,861,489 : 878,299,586 = 878,299,586 : x
  2. Step 2: Convert to fraction form
    409,861,489/878,299,586 = 878,299,586/x
  3. Step 3: Cross multiply
    409,861,489x = 878,299,586 × 878,299,586
  4. Step 4: Simplify right side
    409,861,489x = 771,410,162,767,771,392
  5. Step 5: Solve for x
    x = 771,410,162,767,771,392/409,861,489
  6. Step 6: Final answer
    x = 1,882,124,043.05

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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.