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Finding the Third Proportional to 30.85 and 66.48

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Solution

The third proportional to 30.85 and 66.48 is: 143.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.85 : 66.48 = 66.48 : x
  2. Step 2: Convert to fraction form
    30.85/66.48 = 66.48/x
  3. Step 3: Cross multiply
    30.85x = 66.48 × 66.48
  4. Step 4: Simplify right side
    30.85x = 4,420.24
  5. Step 5: Solve for x
    x = 4,420.24/30.85
  6. Step 6: Final answer
    x = 143.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.