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Finding the Third Proportional to 77,990 and 122,217

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Solution

The third proportional to 77,990 and 122,217 is: 191,524.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,990 : 122,217 = 122,217 : x
  2. Step 2: Convert to fraction form
    77,990/122,217 = 122,217/x
  3. Step 3: Cross multiply
    77,990x = 122,217 × 122,217
  4. Step 4: Simplify right side
    77,990x = 14,936,995,089
  5. Step 5: Solve for x
    x = 14,936,995,089/77,990
  6. Step 6: Final answer
    x = 191,524.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.