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Finding the Third Proportional to 258.53 and 562.56

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Solution

The third proportional to 258.53 and 562.56 is: 1,224.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.53 : 562.56 = 562.56 : x
  2. Step 2: Convert to fraction form
    258.53/562.56 = 562.56/x
  3. Step 3: Cross multiply
    258.53x = 562.56 × 562.56
  4. Step 4: Simplify right side
    258.53x = 316,476.57
  5. Step 5: Solve for x
    x = 316,476.57/258.53
  6. Step 6: Final answer
    x = 1,224.13

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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.