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Finding the Third Proportional to 30,191 and 65,005

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Solution

The third proportional to 30,191 and 65,005 is: 139,963.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,191 : 65,005 = 65,005 : x
  2. Step 2: Convert to fraction form
    30,191/65,005 = 65,005/x
  3. Step 3: Cross multiply
    30,191x = 65,005 × 65,005
  4. Step 4: Simplify right side
    30,191x = 4,225,650,025
  5. Step 5: Solve for x
    x = 4,225,650,025/30,191
  6. Step 6: Final answer
    x = 139,963.90

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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.