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Finding the Third Proportional to 548.06 and 857.69

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Solution

The third proportional to 548.06 and 857.69 is: 1,342.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.06 : 857.69 = 857.69 : x
  2. Step 2: Convert to fraction form
    548.06/857.69 = 857.69/x
  3. Step 3: Cross multiply
    548.06x = 857.69 × 857.69
  4. Step 4: Simplify right side
    548.06x = 735,627.85
  5. Step 5: Solve for x
    x = 735,627.85/548.06
  6. Step 6: Final answer
    x = 1,342.23

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.