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Finding the Third Proportional to 77,833.50 and 171,219

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Solution

The third proportional to 77,833.50 and 171,219 is: 376,649.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,833.50 : 171,219 = 171,219 : x
  2. Step 2: Convert to fraction form
    77,833.50/171,219 = 171,219/x
  3. Step 3: Cross multiply
    77,833.50x = 171,219 × 171,219
  4. Step 4: Simplify right side
    77,833.50x = 29,315,945,961
  5. Step 5: Solve for x
    x = 29,315,945,961/77,833.50
  6. Step 6: Final answer
    x = 376,649.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.