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Finding the Third Proportional to 422,986 and 915,668

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Solution

The third proportional to 422,986 and 915,668 is: 1,982,211.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,986 : 915,668 = 915,668 : x
  2. Step 2: Convert to fraction form
    422,986/915,668 = 915,668/x
  3. Step 3: Cross multiply
    422,986x = 915,668 × 915,668
  4. Step 4: Simplify right side
    422,986x = 838,447,886,224
  5. Step 5: Solve for x
    x = 838,447,886,224/422,986
  6. Step 6: Final answer
    x = 1,982,211.91

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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.