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Finding the Third Proportional to 422,956,353 and 646,591,293

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Solution

The third proportional to 422,956,353 and 646,591,293 is: 988,471,498.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,956,353 : 646,591,293 = 646,591,293 : x
  2. Step 2: Convert to fraction form
    422,956,353/646,591,293 = 646,591,293/x
  3. Step 3: Cross multiply
    422,956,353x = 646,591,293 × 646,591,293
  4. Step 4: Simplify right side
    422,956,353x = 418,080,300,183,411,840
  5. Step 5: Solve for x
    x = 418,080,300,183,411,840/422,956,353
  6. Step 6: Final answer
    x = 988,471,498.82

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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.