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Finding the Third Proportional to 30,531.94 and 66,285.21

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Solution

The third proportional to 30,531.94 and 66,285.21 is: 143,906.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,531.94 : 66,285.21 = 66,285.21 : x
  2. Step 2: Convert to fraction form
    30,531.94/66,285.21 = 66,285.21/x
  3. Step 3: Cross multiply
    30,531.94x = 66,285.21 × 66,285.21
  4. Step 4: Simplify right side
    30,531.94x = 4,393,729,189.03
  5. Step 5: Solve for x
    x = 4,393,729,189.03/30,531.94
  6. Step 6: Final answer
    x = 143,906.01

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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.