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Finding the Third Proportional to 855.97 and 1,223.20

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Solution

The third proportional to 855.97 and 1,223.20 is: 1,747.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.97 : 1,223.20 = 1,223.20 : x
  2. Step 2: Convert to fraction form
    855.97/1,223.20 = 1,223.20/x
  3. Step 3: Cross multiply
    855.97x = 1,223.20 × 1,223.20
  4. Step 4: Simplify right side
    855.97x = 1,496,225.89
  5. Step 5: Solve for x
    x = 1,496,225.89/855.97
  6. Step 6: Final answer
    x = 1,747.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.