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Finding the Third Proportional to 80,300.25 and 172,933.50

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Solution

The third proportional to 80,300.25 and 172,933.50 is: 372,427.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,300.25 : 172,933.50 = 172,933.50 : x
  2. Step 2: Convert to fraction form
    80,300.25/172,933.50 = 172,933.50/x
  3. Step 3: Cross multiply
    80,300.25x = 172,933.50 × 172,933.50
  4. Step 4: Simplify right side
    80,300.25x = 29,905,995,422.25
  5. Step 5: Solve for x
    x = 29,905,995,422.25/80,300.25
  6. Step 6: Final answer
    x = 372,427.18

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.