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Finding the Third Proportional to 422,824 and 654,828

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Solution

The third proportional to 422,824 and 654,828 is: 1,014,132.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,824 : 654,828 = 654,828 : x
  2. Step 2: Convert to fraction form
    422,824/654,828 = 654,828/x
  3. Step 3: Cross multiply
    422,824x = 654,828 × 654,828
  4. Step 4: Simplify right side
    422,824x = 428,799,709,584
  5. Step 5: Solve for x
    x = 428,799,709,584/422,824
  6. Step 6: Final answer
    x = 1,014,132.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.