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Finding the Third Proportional to 136,721.06 and 213,986.44

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Solution

The third proportional to 136,721.06 and 213,986.44 is: 334,916.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,721.06 : 213,986.44 = 213,986.44 : x
  2. Step 2: Convert to fraction form
    136,721.06/213,986.44 = 213,986.44/x
  3. Step 3: Cross multiply
    136,721.06x = 213,986.44 × 213,986.44
  4. Step 4: Simplify right side
    136,721.06x = 45,790,195,433.94
  5. Step 5: Solve for x
    x = 45,790,195,433.94/136,721.06
  6. Step 6: Final answer
    x = 334,916.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.