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Finding the Third Proportional to 30,843.28 and 66,971.81

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Solution

The third proportional to 30,843.28 and 66,971.81 is: 145,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,843.28 : 66,971.81 = 66,971.81 : x
  2. Step 2: Convert to fraction form
    30,843.28/66,971.81 = 66,971.81/x
  3. Step 3: Cross multiply
    30,843.28x = 66,971.81 × 66,971.81
  4. Step 4: Simplify right side
    30,843.28x = 4,485,223,669.54
  5. Step 5: Solve for x
    x = 4,485,223,669.54/30,843.28
  6. Step 6: Final answer
    x = 145,419.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.