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Finding the Third Proportional to 80,922.56 and 177,905.06

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Solution

The third proportional to 80,922.56 and 177,905.06 is: 391,117.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,922.56 : 177,905.06 = 177,905.06 : x
  2. Step 2: Convert to fraction form
    80,922.56/177,905.06 = 177,905.06/x
  3. Step 3: Cross multiply
    80,922.56x = 177,905.06 × 177,905.06
  4. Step 4: Simplify right side
    80,922.56x = 31,650,211,263.13
  5. Step 5: Solve for x
    x = 31,650,211,263.13/80,922.56
  6. Step 6: Final answer
    x = 391,117.26

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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.