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Finding the Third Proportional to 21,726 and 35,949

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Solution

The third proportional to 21,726 and 35,949 is: 59,483.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,726 : 35,949 = 35,949 : x
  2. Step 2: Convert to fraction form
    21,726/35,949 = 35,949/x
  3. Step 3: Cross multiply
    21,726x = 35,949 × 35,949
  4. Step 4: Simplify right side
    21,726x = 1,292,330,601
  5. Step 5: Solve for x
    x = 1,292,330,601/21,726
  6. Step 6: Final answer
    x = 59,483.14

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.