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Finding the Third Proportional to 21,129.75 and 34,974

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Solution

The third proportional to 21,129.75 and 34,974 is: 57,889.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,129.75 : 34,974 = 34,974 : x
  2. Step 2: Convert to fraction form
    21,129.75/34,974 = 34,974/x
  3. Step 3: Cross multiply
    21,129.75x = 34,974 × 34,974
  4. Step 4: Simplify right side
    21,129.75x = 1,223,180,676
  5. Step 5: Solve for x
    x = 1,223,180,676/21,129.75
  6. Step 6: Final answer
    x = 57,889.03

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.