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Finding the Third Proportional to 31,425 and 43,958

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Solution

The third proportional to 31,425 and 43,958 is: 61,489.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,425 : 43,958 = 43,958 : x
  2. Step 2: Convert to fraction form
    31,425/43,958 = 43,958/x
  3. Step 3: Cross multiply
    31,425x = 43,958 × 43,958
  4. Step 4: Simplify right side
    31,425x = 1,932,305,764
  5. Step 5: Solve for x
    x = 1,932,305,764/31,425
  6. Step 6: Final answer
    x = 61,489.44

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.