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Finding the Third Proportional to 31,245.75 and 66,956.63

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Solution

The third proportional to 31,245.75 and 66,956.63 is: 143,481.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,245.75 : 66,956.63 = 66,956.63 : x
  2. Step 2: Convert to fraction form
    31,245.75/66,956.63 = 66,956.63/x
  3. Step 3: Cross multiply
    31,245.75x = 66,956.63 × 66,956.63
  4. Step 4: Simplify right side
    31,245.75x = 4,483,189,631.39
  5. Step 5: Solve for x
    x = 4,483,189,631.39/31,245.75
  6. Step 6: Final answer
    x = 143,481.58

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.