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Finding the Third Proportional to 258.09 and 557.53

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Solution

The third proportional to 258.09 and 557.53 is: 1,204.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.09 : 557.53 = 557.53 : x
  2. Step 2: Convert to fraction form
    258.09/557.53 = 557.53/x
  3. Step 3: Cross multiply
    258.09x = 557.53 × 557.53
  4. Step 4: Simplify right side
    258.09x = 310,841.09
  5. Step 5: Solve for x
    x = 310,841.09/258.09
  6. Step 6: Final answer
    x = 1,204.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.