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Finding the Third Proportional to 422,918 and 634,242

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Solution

The third proportional to 422,918 and 634,242 is: 951,160.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,918 : 634,242 = 634,242 : x
  2. Step 2: Convert to fraction form
    422,918/634,242 = 634,242/x
  3. Step 3: Cross multiply
    422,918x = 634,242 × 634,242
  4. Step 4: Simplify right side
    422,918x = 402,262,914,564
  5. Step 5: Solve for x
    x = 402,262,914,564/422,918
  6. Step 6: Final answer
    x = 951,160.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.