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Finding the Third Proportional to 81,943.75 and 178,307.75

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Solution

The third proportional to 81,943.75 and 178,307.75 is: 387,993.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,943.75 : 178,307.75 = 178,307.75 : x
  2. Step 2: Convert to fraction form
    81,943.75/178,307.75 = 178,307.75/x
  3. Step 3: Cross multiply
    81,943.75x = 178,307.75 × 178,307.75
  4. Step 4: Simplify right side
    81,943.75x = 31,793,653,710.06
  5. Step 5: Solve for x
    x = 31,793,653,710.06/81,943.75
  6. Step 6: Final answer
    x = 387,993.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.