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Finding the Third Proportional to 50,256 and 136,710

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Solution

The third proportional to 50,256 and 136,710 is: 371,888.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,256 : 136,710 = 136,710 : x
  2. Step 2: Convert to fraction form
    50,256/136,710 = 136,710/x
  3. Step 3: Cross multiply
    50,256x = 136,710 × 136,710
  4. Step 4: Simplify right side
    50,256x = 18,689,624,100
  5. Step 5: Solve for x
    x = 18,689,624,100/50,256
  6. Step 6: Final answer
    x = 371,888.41

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Why These Related Problems?

These problems maintain the same ratio (2.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.