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Finding the Third Proportional to 422,920 and 634,245

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Solution

The third proportional to 422,920 and 634,245 is: 951,165.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,920 : 634,245 = 634,245 : x
  2. Step 2: Convert to fraction form
    422,920/634,245 = 634,245/x
  3. Step 3: Cross multiply
    422,920x = 634,245 × 634,245
  4. Step 4: Simplify right side
    422,920x = 402,266,720,025
  5. Step 5: Solve for x
    x = 402,266,720,025/422,920
  6. Step 6: Final answer
    x = 951,165.04

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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.