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Finding the Third Proportional to 30,812.25 and 66,372.75

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Solution

The third proportional to 30,812.25 and 66,372.75 is: 142,973.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,812.25 : 66,372.75 = 66,372.75 : x
  2. Step 2: Convert to fraction form
    30,812.25/66,372.75 = 66,372.75/x
  3. Step 3: Cross multiply
    30,812.25x = 66,372.75 × 66,372.75
  4. Step 4: Simplify right side
    30,812.25x = 4,405,341,942.56
  5. Step 5: Solve for x
    x = 4,405,341,942.56/30,812.25
  6. Step 6: Final answer
    x = 142,973.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.