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Finding the Third Proportional to 205,656 and 417,036

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Solution

The third proportional to 205,656 and 417,036 is: 845,679.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,656 : 417,036 = 417,036 : x
  2. Step 2: Convert to fraction form
    205,656/417,036 = 417,036/x
  3. Step 3: Cross multiply
    205,656x = 417,036 × 417,036
  4. Step 4: Simplify right side
    205,656x = 173,919,025,296
  5. Step 5: Solve for x
    x = 173,919,025,296/205,656
  6. Step 6: Final answer
    x = 845,679.32

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.