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Finding the Third Proportional to 79,263 and 122,918

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Solution

The third proportional to 79,263 and 122,918 is: 190,616.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,263 : 122,918 = 122,918 : x
  2. Step 2: Convert to fraction form
    79,263/122,918 = 122,918/x
  3. Step 3: Cross multiply
    79,263x = 122,918 × 122,918
  4. Step 4: Simplify right side
    79,263x = 15,108,834,724
  5. Step 5: Solve for x
    x = 15,108,834,724/79,263
  6. Step 6: Final answer
    x = 190,616.49

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.