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Finding the Third Proportional to 81,980.44 and 179,148.94

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Solution

The third proportional to 81,980.44 and 179,148.94 is: 391,487.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,980.44 : 179,148.94 = 179,148.94 : x
  2. Step 2: Convert to fraction form
    81,980.44/179,148.94 = 179,148.94/x
  3. Step 3: Cross multiply
    81,980.44x = 179,148.94 × 179,148.94
  4. Step 4: Simplify right side
    81,980.44x = 32,094,341,807.38
  5. Step 5: Solve for x
    x = 32,094,341,807.38/81,980.44
  6. Step 6: Final answer
    x = 391,487.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.