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Finding the Third Proportional to 81,622.50 and 170,625

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Solution

The third proportional to 81,622.50 and 170,625 is: 356,677.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,622.50 : 170,625 = 170,625 : x
  2. Step 2: Convert to fraction form
    81,622.50/170,625 = 170,625/x
  3. Step 3: Cross multiply
    81,622.50x = 170,625 × 170,625
  4. Step 4: Simplify right side
    81,622.50x = 29,112,890,625
  5. Step 5: Solve for x
    x = 29,112,890,625/81,622.50
  6. Step 6: Final answer
    x = 356,677.27

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.