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Finding the Third Proportional to 20,342 and 41,990.50

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Solution

The third proportional to 20,342 and 41,990.50 is: 86,677.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,342 : 41,990.50 = 41,990.50 : x
  2. Step 2: Convert to fraction form
    20,342/41,990.50 = 41,990.50/x
  3. Step 3: Cross multiply
    20,342x = 41,990.50 × 41,990.50
  4. Step 4: Simplify right side
    20,342x = 1,763,202,090.25
  5. Step 5: Solve for x
    x = 1,763,202,090.25/20,342
  6. Step 6: Final answer
    x = 86,677.91

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.