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Finding the Third Proportional to 81,153.56 and 177,570.56

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Solution

The third proportional to 81,153.56 and 177,570.56 is: 388,538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,153.56 : 177,570.56 = 177,570.56 : x
  2. Step 2: Convert to fraction form
    81,153.56/177,570.56 = 177,570.56/x
  3. Step 3: Cross multiply
    81,153.56x = 177,570.56 × 177,570.56
  4. Step 4: Simplify right side
    81,153.56x = 31,531,304,666.57
  5. Step 5: Solve for x
    x = 31,531,304,666.57/81,153.56
  6. Step 6: Final answer
    x = 388,538.76

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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.