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Finding the Third Proportional to 81,400.50 and 174,480.75

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Solution

The third proportional to 81,400.50 and 174,480.75 is: 373,996.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,400.50 : 174,480.75 = 174,480.75 : x
  2. Step 2: Convert to fraction form
    81,400.50/174,480.75 = 174,480.75/x
  3. Step 3: Cross multiply
    81,400.50x = 174,480.75 × 174,480.75
  4. Step 4: Simplify right side
    81,400.50x = 30,443,532,120.56
  5. Step 5: Solve for x
    x = 30,443,532,120.56/81,400.50
  6. Step 6: Final answer
    x = 373,996.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.