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Finding the Third Proportional to 422,795,760 and 646,829,880

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Solution

The third proportional to 422,795,760 and 646,829,880 is: 989,576,843.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,795,760 : 646,829,880 = 646,829,880 : x
  2. Step 2: Convert to fraction form
    422,795,760/646,829,880 = 646,829,880/x
  3. Step 3: Cross multiply
    422,795,760x = 646,829,880 × 646,829,880
  4. Step 4: Simplify right side
    422,795,760x = 418,388,893,660,814,400
  5. Step 5: Solve for x
    x = 418,388,893,660,814,400/422,795,760
  6. Step 6: Final answer
    x = 989,576,843.58

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.