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Finding the Third Proportional to 81,405.50 and 173,563.75

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Solution

The third proportional to 81,405.50 and 173,563.75 is: 370,053.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,405.50 : 173,563.75 = 173,563.75 : x
  2. Step 2: Convert to fraction form
    81,405.50/173,563.75 = 173,563.75/x
  3. Step 3: Cross multiply
    81,405.50x = 173,563.75 × 173,563.75
  4. Step 4: Simplify right side
    81,405.50x = 30,124,375,314.06
  5. Step 5: Solve for x
    x = 30,124,375,314.06/81,405.50
  6. Step 6: Final answer
    x = 370,053.32

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.