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Finding the Third Proportional to 81,121.50 and 174,722.06

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Solution

The third proportional to 81,121.50 and 174,722.06 is: 376,321.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,121.50 : 174,722.06 = 174,722.06 : x
  2. Step 2: Convert to fraction form
    81,121.50/174,722.06 = 174,722.06/x
  3. Step 3: Cross multiply
    81,121.50x = 174,722.06 × 174,722.06
  4. Step 4: Simplify right side
    81,121.50x = 30,527,799,124.25
  5. Step 5: Solve for x
    x = 30,527,799,124.25/81,121.50
  6. Step 6: Final answer
    x = 376,321.93

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Why These Related Problems?

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