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Finding the Third Proportional to 33,970 and 51,931

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Solution

The third proportional to 33,970 and 51,931 is: 79,388.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,970 : 51,931 = 51,931 : x
  2. Step 2: Convert to fraction form
    33,970/51,931 = 51,931/x
  3. Step 3: Cross multiply
    33,970x = 51,931 × 51,931
  4. Step 4: Simplify right side
    33,970x = 2,696,828,761
  5. Step 5: Solve for x
    x = 2,696,828,761/33,970
  6. Step 6: Final answer
    x = 79,388.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.