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Finding the Third Proportional to 258.82 and 702.11

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Solution

The third proportional to 258.82 and 702.11 is: 1,904.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.82 : 702.11 = 702.11 : x
  2. Step 2: Convert to fraction form
    258.82/702.11 = 702.11/x
  3. Step 3: Cross multiply
    258.82x = 702.11 × 702.11
  4. Step 4: Simplify right side
    258.82x = 492,952.09
  5. Step 5: Solve for x
    x = 492,952.09/258.82
  6. Step 6: Final answer
    x = 1,904.61

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Why These Related Problems?

These problems maintain the same ratio (2.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.