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Finding the Third Proportional to 258.29 and 562.15

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Solution

The third proportional to 258.29 and 562.15 is: 1,223.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.29 : 562.15 = 562.15 : x
  2. Step 2: Convert to fraction form
    258.29/562.15 = 562.15/x
  3. Step 3: Cross multiply
    258.29x = 562.15 × 562.15
  4. Step 4: Simplify right side
    258.29x = 316,010.87
  5. Step 5: Solve for x
    x = 316,010.87/258.29
  6. Step 6: Final answer
    x = 1,223.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.