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Finding the Third Proportional to 15,974 and 34,120

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Solution

The third proportional to 15,974 and 34,120 is: 72,879.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,974 : 34,120 = 34,120 : x
  2. Step 2: Convert to fraction form
    15,974/34,120 = 34,120/x
  3. Step 3: Cross multiply
    15,974x = 34,120 × 34,120
  4. Step 4: Simplify right side
    15,974x = 1,164,174,400
  5. Step 5: Solve for x
    x = 1,164,174,400/15,974
  6. Step 6: Final answer
    x = 72,879.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.