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Finding the Third Proportional to 205,932 and 319,164

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Solution

The third proportional to 205,932 and 319,164 is: 494,656.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,932 : 319,164 = 319,164 : x
  2. Step 2: Convert to fraction form
    205,932/319,164 = 319,164/x
  3. Step 3: Cross multiply
    205,932x = 319,164 × 319,164
  4. Step 4: Simplify right side
    205,932x = 101,865,658,896
  5. Step 5: Solve for x
    x = 101,865,658,896/205,932
  6. Step 6: Final answer
    x = 494,656.77

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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.