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Finding the Third Proportional to 30.16 and 69.05

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Solution

The third proportional to 30.16 and 69.05 is: 158.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.16 : 69.05 = 69.05 : x
  2. Step 2: Convert to fraction form
    30.16/69.05 = 69.05/x
  3. Step 3: Cross multiply
    30.16x = 69.05 × 69.05
  4. Step 4: Simplify right side
    30.16x = 4,767.47
  5. Step 5: Solve for x
    x = 4,767.47/30.16
  6. Step 6: Final answer
    x = 158.05

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.