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Finding the Third Proportional to 85,668 and 197,440.50

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Solution

The third proportional to 85,668 and 197,440.50 is: 455,044.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,668 : 197,440.50 = 197,440.50 : x
  2. Step 2: Convert to fraction form
    85,668/197,440.50 = 197,440.50/x
  3. Step 3: Cross multiply
    85,668x = 197,440.50 × 197,440.50
  4. Step 4: Simplify right side
    85,668x = 38,982,751,040.25
  5. Step 5: Solve for x
    x = 38,982,751,040.25/85,668
  6. Step 6: Final answer
    x = 455,044.49

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.