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Finding the Third Proportional to 141.75 and 302.19

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Solution

The third proportional to 141.75 and 302.19 is: 644.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.75 : 302.19 = 302.19 : x
  2. Step 2: Convert to fraction form
    141.75/302.19 = 302.19/x
  3. Step 3: Cross multiply
    141.75x = 302.19 × 302.19
  4. Step 4: Simplify right side
    141.75x = 91,317.29
  5. Step 5: Solve for x
    x = 91,317.29/141.75
  6. Step 6: Final answer
    x = 644.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.