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Finding the Third Proportional to 205,078 and 321,058

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Solution

The third proportional to 205,078 and 321,058 is: 502,629.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,078 : 321,058 = 321,058 : x
  2. Step 2: Convert to fraction form
    205,078/321,058 = 321,058/x
  3. Step 3: Cross multiply
    205,078x = 321,058 × 321,058
  4. Step 4: Simplify right side
    205,078x = 103,078,239,364
  5. Step 5: Solve for x
    x = 103,078,239,364/205,078
  6. Step 6: Final answer
    x = 502,629.44

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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.