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Finding the Third Proportional to 30.16 and 66.02

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Solution

The third proportional to 30.16 and 66.02 is: 144.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.16 : 66.02 = 66.02 : x
  2. Step 2: Convert to fraction form
    30.16/66.02 = 66.02/x
  3. Step 3: Cross multiply
    30.16x = 66.02 × 66.02
  4. Step 4: Simplify right side
    30.16x = 4,359.09
  5. Step 5: Solve for x
    x = 4,359.09/30.16
  6. Step 6: Final answer
    x = 144.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.