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Finding the Third Proportional to 21,154.75 and 50,120

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Solution

The third proportional to 21,154.75 and 50,120 is: 118,744.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,154.75 : 50,120 = 50,120 : x
  2. Step 2: Convert to fraction form
    21,154.75/50,120 = 50,120/x
  3. Step 3: Cross multiply
    21,154.75x = 50,120 × 50,120
  4. Step 4: Simplify right side
    21,154.75x = 2,512,014,400
  5. Step 5: Solve for x
    x = 2,512,014,400/21,154.75
  6. Step 6: Final answer
    x = 118,744.70

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.