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Finding the Third Proportional to 61.07 and 141.28

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Solution

The third proportional to 61.07 and 141.28 is: 326.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.07 : 141.28 = 141.28 : x
  2. Step 2: Convert to fraction form
    61.07/141.28 = 141.28/x
  3. Step 3: Cross multiply
    61.07x = 141.28 × 141.28
  4. Step 4: Simplify right side
    61.07x = 19,958.74
  5. Step 5: Solve for x
    x = 19,958.74/61.07
  6. Step 6: Final answer
    x = 326.84

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.