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Finding the Third Proportional to 269,634 and 422,940

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Solution

The third proportional to 269,634 and 422,940 is: 663,411.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,634 : 422,940 = 422,940 : x
  2. Step 2: Convert to fraction form
    269,634/422,940 = 422,940/x
  3. Step 3: Cross multiply
    269,634x = 422,940 × 422,940
  4. Step 4: Simplify right side
    269,634x = 178,878,243,600
  5. Step 5: Solve for x
    x = 178,878,243,600/269,634
  6. Step 6: Final answer
    x = 663,411.30

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.