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Finding the Third Proportional to 422,956,348 and 646,591,286

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Solution

The third proportional to 422,956,348 and 646,591,286 is: 988,471,489.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,956,348 : 646,591,286 = 646,591,286 : x
  2. Step 2: Convert to fraction form
    422,956,348/646,591,286 = 646,591,286/x
  3. Step 3: Cross multiply
    422,956,348x = 646,591,286 × 646,591,286
  4. Step 4: Simplify right side
    422,956,348x = 418,080,291,131,133,824
  5. Step 5: Solve for x
    x = 418,080,291,131,133,824/422,956,348
  6. Step 6: Final answer
    x = 988,471,489.10

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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.