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Finding the Third Proportional to 50,720 and 78,266

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Solution

The third proportional to 50,720 and 78,266 is: 120,772.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,720 : 78,266 = 78,266 : x
  2. Step 2: Convert to fraction form
    50,720/78,266 = 78,266/x
  3. Step 3: Cross multiply
    50,720x = 78,266 × 78,266
  4. Step 4: Simplify right side
    50,720x = 6,125,566,756
  5. Step 5: Solve for x
    x = 6,125,566,756/50,720
  6. Step 6: Final answer
    x = 120,772.22

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.