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Finding the Third Proportional to 117.42 and 258.05

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Solution

The third proportional to 117.42 and 258.05 is: 567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.42 : 258.05 = 258.05 : x
  2. Step 2: Convert to fraction form
    117.42/258.05 = 258.05/x
  3. Step 3: Cross multiply
    117.42x = 258.05 × 258.05
  4. Step 4: Simplify right side
    117.42x = 66,588.19
  5. Step 5: Solve for x
    x = 66,588.19/117.42
  6. Step 6: Final answer
    x = 567.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.