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Finding the Third Proportional to 409,342,298 and 890,405,434

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Solution

The third proportional to 409,342,298 and 890,405,434 is: 1,936,818,747.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,342,298 : 890,405,434 = 890,405,434 : x
  2. Step 2: Convert to fraction form
    409,342,298/890,405,434 = 890,405,434/x
  3. Step 3: Cross multiply
    409,342,298x = 890,405,434 × 890,405,434
  4. Step 4: Simplify right side
    409,342,298x = 792,821,836,896,728,320
  5. Step 5: Solve for x
    x = 792,821,836,896,728,320/409,342,298
  6. Step 6: Final answer
    x = 1,936,818,747.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.