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Finding the Third Proportional to 103,185 and 209,682

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Solution

The third proportional to 103,185 and 209,682 is: 426,094.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,185 : 209,682 = 209,682 : x
  2. Step 2: Convert to fraction form
    103,185/209,682 = 209,682/x
  3. Step 3: Cross multiply
    103,185x = 209,682 × 209,682
  4. Step 4: Simplify right side
    103,185x = 43,966,541,124
  5. Step 5: Solve for x
    x = 43,966,541,124/103,185
  6. Step 6: Final answer
    x = 426,094.31

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.