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Finding the Third Proportional to 258.71 and 348.68

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Solution

The third proportional to 258.71 and 348.68 is: 469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.71 : 348.68 = 348.68 : x
  2. Step 2: Convert to fraction form
    258.71/348.68 = 348.68/x
  3. Step 3: Cross multiply
    258.71x = 348.68 × 348.68
  4. Step 4: Simplify right side
    258.71x = 121,577.52
  5. Step 5: Solve for x
    x = 121,577.52/258.71
  6. Step 6: Final answer
    x = 469.93

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.