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Finding the Third Proportional to 81,420.29 and 179,405.30

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Solution

The third proportional to 81,420.29 and 179,405.30 is: 395,310.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,420.29 : 179,405.30 = 179,405.30 : x
  2. Step 2: Convert to fraction form
    81,420.29/179,405.30 = 179,405.30/x
  3. Step 3: Cross multiply
    81,420.29x = 179,405.30 × 179,405.30
  4. Step 4: Simplify right side
    81,420.29x = 32,186,260,546.81
  5. Step 5: Solve for x
    x = 32,186,260,546.81/81,420.29
  6. Step 6: Final answer
    x = 395,310.06

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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.