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Finding the Third Proportional to 30.66 and 65.53

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Solution

The third proportional to 30.66 and 65.53 is: 140.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.66 : 65.53 = 65.53 : x
  2. Step 2: Convert to fraction form
    30.66/65.53 = 65.53/x
  3. Step 3: Cross multiply
    30.66x = 65.53 × 65.53
  4. Step 4: Simplify right side
    30.66x = 4,294.34
  5. Step 5: Solve for x
    x = 4,294.34/30.66
  6. Step 6: Final answer
    x = 140.08

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.