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Finding the Third Proportional to 77,989.50 and 168,939

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Solution

The third proportional to 77,989.50 and 168,939 is: 365,951.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,989.50 : 168,939 = 168,939 : x
  2. Step 2: Convert to fraction form
    77,989.50/168,939 = 168,939/x
  3. Step 3: Cross multiply
    77,989.50x = 168,939 × 168,939
  4. Step 4: Simplify right side
    77,989.50x = 28,540,385,721
  5. Step 5: Solve for x
    x = 28,540,385,721/77,989.50
  6. Step 6: Final answer
    x = 365,951.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.