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Finding the Third Proportional to 422,487,678 and 646,278,474

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Solution

The third proportional to 422,487,678 and 646,278,474 is: 988,610,763.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,487,678 : 646,278,474 = 646,278,474 : x
  2. Step 2: Convert to fraction form
    422,487,678/646,278,474 = 646,278,474/x
  3. Step 3: Cross multiply
    422,487,678x = 646,278,474 × 646,278,474
  4. Step 4: Simplify right side
    422,487,678x = 417,675,865,955,768,704
  5. Step 5: Solve for x
    x = 417,675,865,955,768,704/422,487,678
  6. Step 6: Final answer
    x = 988,610,763.59

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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.