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Finding the Third Proportional to 31,640.20 and 66,838.08

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Solution

The third proportional to 31,640.20 and 66,838.08 is: 141,191.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,640.20 : 66,838.08 = 66,838.08 : x
  2. Step 2: Convert to fraction form
    31,640.20/66,838.08 = 66,838.08/x
  3. Step 3: Cross multiply
    31,640.20x = 66,838.08 × 66,838.08
  4. Step 4: Simplify right side
    31,640.20x = 4,467,328,687.44
  5. Step 5: Solve for x
    x = 4,467,328,687.44/31,640.20
  6. Step 6: Final answer
    x = 141,191.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.