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Finding the Third Proportional to 31,975 and 74,683

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Solution

The third proportional to 31,975 and 74,683 is: 174,434.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,975 : 74,683 = 74,683 : x
  2. Step 2: Convert to fraction form
    31,975/74,683 = 74,683/x
  3. Step 3: Cross multiply
    31,975x = 74,683 × 74,683
  4. Step 4: Simplify right side
    31,975x = 5,577,550,489
  5. Step 5: Solve for x
    x = 5,577,550,489/31,975
  6. Step 6: Final answer
    x = 174,434.73

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.