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Finding the Third Proportional to 422,275 and 633,969

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Solution

The third proportional to 422,275 and 633,969 is: 951,788.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,275 : 633,969 = 633,969 : x
  2. Step 2: Convert to fraction form
    422,275/633,969 = 633,969/x
  3. Step 3: Cross multiply
    422,275x = 633,969 × 633,969
  4. Step 4: Simplify right side
    422,275x = 401,916,692,961
  5. Step 5: Solve for x
    x = 401,916,692,961/422,275
  6. Step 6: Final answer
    x = 951,788.98

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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.