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Finding the Third Proportional to 258.12 and 571.92

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Solution

The third proportional to 258.12 and 571.92 is: 1,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.12 : 571.92 = 571.92 : x
  2. Step 2: Convert to fraction form
    258.12/571.92 = 571.92/x
  3. Step 3: Cross multiply
    258.12x = 571.92 × 571.92
  4. Step 4: Simplify right side
    258.12x = 327,094.63
  5. Step 5: Solve for x
    x = 327,094.63/258.12
  6. Step 6: Final answer
    x = 1,267.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.