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Finding the Third Proportional to 205,921.41 and 421,877.11

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Solution

The third proportional to 205,921.41 and 421,877.11 is: 864,311.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,921.41 : 421,877.11 = 421,877.11 : x
  2. Step 2: Convert to fraction form
    205,921.41/421,877.11 = 421,877.11/x
  3. Step 3: Cross multiply
    205,921.41x = 421,877.11 × 421,877.11
  4. Step 4: Simplify right side
    205,921.41x = 177,980,295,414.61
  5. Step 5: Solve for x
    x = 177,980,295,414.61/205,921.41
  6. Step 6: Final answer
    x = 864,311.77

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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.