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Finding the Third Proportional to 30,189 and 65,001

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Solution

The third proportional to 30,189 and 65,001 is: 139,955.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,189 : 65,001 = 65,001 : x
  2. Step 2: Convert to fraction form
    30,189/65,001 = 65,001/x
  3. Step 3: Cross multiply
    30,189x = 65,001 × 65,001
  4. Step 4: Simplify right side
    30,189x = 4,225,130,001
  5. Step 5: Solve for x
    x = 4,225,130,001/30,189
  6. Step 6: Final answer
    x = 139,955.94

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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.