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Finding the Third Proportional to 422,907 and 915,935

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Solution

The third proportional to 422,907 and 915,935 is: 1,983,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,907 : 915,935 = 915,935 : x
  2. Step 2: Convert to fraction form
    422,907/915,935 = 915,935/x
  3. Step 3: Cross multiply
    422,907x = 915,935 × 915,935
  4. Step 4: Simplify right side
    422,907x = 838,936,924,225
  5. Step 5: Solve for x
    x = 838,936,924,225/422,907
  6. Step 6: Final answer
    x = 1,983,738.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.