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Finding the Third Proportional to 30.06 and 64.68

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Solution

The third proportional to 30.06 and 64.68 is: 139.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.06 : 64.68 = 64.68 : x
  2. Step 2: Convert to fraction form
    30.06/64.68 = 64.68/x
  3. Step 3: Cross multiply
    30.06x = 64.68 × 64.68
  4. Step 4: Simplify right side
    30.06x = 4,183.34
  5. Step 5: Solve for x
    x = 4,183.34/30.06
  6. Step 6: Final answer
    x = 139.17

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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.