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Finding the Third Proportional to 31,701 and 74,969

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Solution

The third proportional to 31,701 and 74,969 is: 177,292.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,701 : 74,969 = 74,969 : x
  2. Step 2: Convert to fraction form
    31,701/74,969 = 74,969/x
  3. Step 3: Cross multiply
    31,701x = 74,969 × 74,969
  4. Step 4: Simplify right side
    31,701x = 5,620,350,961
  5. Step 5: Solve for x
    x = 5,620,350,961/31,701
  6. Step 6: Final answer
    x = 177,292.54

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.