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Finding the Third Proportional to 422,956,344 and 646,591,280

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Solution

The third proportional to 422,956,344 and 646,591,280 is: 988,471,480.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,956,344 : 646,591,280 = 646,591,280 : x
  2. Step 2: Convert to fraction form
    422,956,344/646,591,280 = 646,591,280/x
  3. Step 3: Cross multiply
    422,956,344x = 646,591,280 × 646,591,280
  4. Step 4: Simplify right side
    422,956,344x = 418,080,283,372,038,400
  5. Step 5: Solve for x
    x = 418,080,283,372,038,400/422,956,344
  6. Step 6: Final answer
    x = 988,471,480.10

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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.