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Finding the Third Proportional to 81,127.75 and 177,549.25

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Solution

The third proportional to 81,127.75 and 177,549.25 is: 388,569.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,127.75 : 177,549.25 = 177,549.25 : x
  2. Step 2: Convert to fraction form
    81,127.75/177,549.25 = 177,549.25/x
  3. Step 3: Cross multiply
    81,127.75x = 177,549.25 × 177,549.25
  4. Step 4: Simplify right side
    81,127.75x = 31,523,736,175.56
  5. Step 5: Solve for x
    x = 31,523,736,175.56/81,127.75
  6. Step 6: Final answer
    x = 388,569.09

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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.