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Finding the Third Proportional to 205,719.75 and 272,968.31

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Solution

The third proportional to 205,719.75 and 272,968.31 is: 362,200.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,719.75 : 272,968.31 = 272,968.31 : x
  2. Step 2: Convert to fraction form
    205,719.75/272,968.31 = 272,968.31/x
  3. Step 3: Cross multiply
    205,719.75x = 272,968.31 × 272,968.31
  4. Step 4: Simplify right side
    205,719.75x = 74,511,699,629.10
  5. Step 5: Solve for x
    x = 74,511,699,629.10/205,719.75
  6. Step 6: Final answer
    x = 362,200.03

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.