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Finding the Third Proportional to 258.47 and 564.94

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Solution

The third proportional to 258.47 and 564.94 is: 1,234.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.47 : 564.94 = 564.94 : x
  2. Step 2: Convert to fraction form
    258.47/564.94 = 564.94/x
  3. Step 3: Cross multiply
    258.47x = 564.94 × 564.94
  4. Step 4: Simplify right side
    258.47x = 319,154.38
  5. Step 5: Solve for x
    x = 319,154.38/258.47
  6. Step 6: Final answer
    x = 1,234.79

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.