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Finding the Third Proportional to 50,220 and 136,620

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Solution

The third proportional to 50,220 and 136,620 is: 371,665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,220 : 136,620 = 136,620 : x
  2. Step 2: Convert to fraction form
    50,220/136,620 = 136,620/x
  3. Step 3: Cross multiply
    50,220x = 136,620 × 136,620
  4. Step 4: Simplify right side
    50,220x = 18,665,024,400
  5. Step 5: Solve for x
    x = 18,665,024,400/50,220
  6. Step 6: Final answer
    x = 371,665.16

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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.