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Finding the Third Proportional to 31,903 and 74,515

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Solution

The third proportional to 31,903 and 74,515 is: 174,042.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903 : 74,515 = 74,515 : x
  2. Step 2: Convert to fraction form
    31,903/74,515 = 74,515/x
  3. Step 3: Cross multiply
    31,903x = 74,515 × 74,515
  4. Step 4: Simplify right side
    31,903x = 5,552,485,225
  5. Step 5: Solve for x
    x = 5,552,485,225/31,903
  6. Step 6: Final answer
    x = 174,042.73

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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.