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Finding the Third Proportional to 30.48 and 65.64

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Solution

The third proportional to 30.48 and 65.64 is: 141.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.48 : 65.64 = 65.64 : x
  2. Step 2: Convert to fraction form
    30.48/65.64 = 65.64/x
  3. Step 3: Cross multiply
    30.48x = 65.64 × 65.64
  4. Step 4: Simplify right side
    30.48x = 4,308.18
  5. Step 5: Solve for x
    x = 4,308.18/30.48
  6. Step 6: Final answer
    x = 141.34

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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.