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Finding the Third Proportional to 30,008 and 65,665

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Solution

The third proportional to 30,008 and 65,665 is: 143,691.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,008 : 65,665 = 65,665 : x
  2. Step 2: Convert to fraction form
    30,008/65,665 = 65,665/x
  3. Step 3: Cross multiply
    30,008x = 65,665 × 65,665
  4. Step 4: Simplify right side
    30,008x = 4,311,892,225
  5. Step 5: Solve for x
    x = 4,311,892,225/30,008
  6. Step 6: Final answer
    x = 143,691.42

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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.