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Finding the Third Proportional to 420.44 and 857.97

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Solution

The third proportional to 420.44 and 857.97 is: 1,750.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    420.44 : 857.97 = 857.97 : x
  2. Step 2: Convert to fraction form
    420.44/857.97 = 857.97/x
  3. Step 3: Cross multiply
    420.44x = 857.97 × 857.97
  4. Step 4: Simplify right side
    420.44x = 736,110.38
  5. Step 5: Solve for x
    x = 736,110.38/420.44
  6. Step 6: Final answer
    x = 1,750.82

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.