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Finding the Third Proportional to 81,638.25 and 126,098.25

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Solution

The third proportional to 81,638.25 and 126,098.25 is: 194,771.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,638.25 : 126,098.25 = 126,098.25 : x
  2. Step 2: Convert to fraction form
    81,638.25/126,098.25 = 126,098.25/x
  3. Step 3: Cross multiply
    81,638.25x = 126,098.25 × 126,098.25
  4. Step 4: Simplify right side
    81,638.25x = 15,900,768,653.06
  5. Step 5: Solve for x
    x = 15,900,768,653.06/81,638.25
  6. Step 6: Final answer
    x = 194,771.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.