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Finding the Third Proportional to 205,915.92 and 421,866.98

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Solution

The third proportional to 205,915.92 and 421,866.98 is: 864,293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,915.92 : 421,866.98 = 421,866.98 : x
  2. Step 2: Convert to fraction form
    205,915.92/421,866.98 = 421,866.98/x
  3. Step 3: Cross multiply
    205,915.92x = 421,866.98 × 421,866.98
  4. Step 4: Simplify right side
    205,915.92x = 177,971,752,505.66
  5. Step 5: Solve for x
    x = 177,971,752,505.66/205,915.92
  6. Step 6: Final answer
    x = 864,293.30

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.