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Finding the Third Proportional to 571.97 and 857.72

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Solution

The third proportional to 571.97 and 857.72 is: 1,286.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.97 : 857.72 = 857.72 : x
  2. Step 2: Convert to fraction form
    571.97/857.72 = 857.72/x
  3. Step 3: Cross multiply
    571.97x = 857.72 × 857.72
  4. Step 4: Simplify right side
    571.97x = 735,681.45
  5. Step 5: Solve for x
    x = 735,681.45/571.97
  6. Step 6: Final answer
    x = 1,286.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.