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Finding the Third Proportional to 422,920 and 929,957

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Solution

The third proportional to 422,920 and 929,957 is: 2,044,878.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,920 : 929,957 = 929,957 : x
  2. Step 2: Convert to fraction form
    422,920/929,957 = 929,957/x
  3. Step 3: Cross multiply
    422,920x = 929,957 × 929,957
  4. Step 4: Simplify right side
    422,920x = 864,820,021,849
  5. Step 5: Solve for x
    x = 864,820,021,849/422,920
  6. Step 6: Final answer
    x = 2,044,878.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.