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Finding the Third Proportional to 422,954 and 915,604

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Solution

The third proportional to 422,954 and 915,604 is: 1,982,084.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,954 : 915,604 = 915,604 : x
  2. Step 2: Convert to fraction form
    422,954/915,604 = 915,604/x
  3. Step 3: Cross multiply
    422,954x = 915,604 × 915,604
  4. Step 4: Simplify right side
    422,954x = 838,330,684,816
  5. Step 5: Solve for x
    x = 838,330,684,816/422,954
  6. Step 6: Final answer
    x = 1,982,084.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.