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Finding the Third Proportional to 141.47 and 304.22

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Solution

The third proportional to 141.47 and 304.22 is: 654.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    141.47 : 304.22 = 304.22 : x
  2. Step 2: Convert to fraction form
    141.47/304.22 = 304.22/x
  3. Step 3: Cross multiply
    141.47x = 304.22 × 304.22
  4. Step 4: Simplify right side
    141.47x = 92,549.05
  5. Step 5: Solve for x
    x = 92,549.05/141.47
  6. Step 6: Final answer
    x = 654.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.