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Finding the Third Proportional to 205,081 and 320,979

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Solution

The third proportional to 205,081 and 320,979 is: 502,374.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,081 : 320,979 = 320,979 : x
  2. Step 2: Convert to fraction form
    205,081/320,979 = 320,979/x
  3. Step 3: Cross multiply
    205,081x = 320,979 × 320,979
  4. Step 4: Simplify right side
    205,081x = 103,027,518,441
  5. Step 5: Solve for x
    x = 103,027,518,441/205,081
  6. Step 6: Final answer
    x = 502,374.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.