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Finding the Third Proportional to 20,283 and 41,046

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Solution

The third proportional to 20,283 and 41,046 is: 83,063.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,283 : 41,046 = 41,046 : x
  2. Step 2: Convert to fraction form
    20,283/41,046 = 41,046/x
  3. Step 3: Cross multiply
    20,283x = 41,046 × 41,046
  4. Step 4: Simplify right side
    20,283x = 1,684,774,116
  5. Step 5: Solve for x
    x = 1,684,774,116/20,283
  6. Step 6: Final answer
    x = 83,063.36

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.