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Finding the Third Proportional to 30,001 and 65,650

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Solution

The third proportional to 30,001 and 65,650 is: 143,659.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,001 : 65,650 = 65,650 : x
  2. Step 2: Convert to fraction form
    30,001/65,650 = 65,650/x
  3. Step 3: Cross multiply
    30,001x = 65,650 × 65,650
  4. Step 4: Simplify right side
    30,001x = 4,309,922,500
  5. Step 5: Solve for x
    x = 4,309,922,500/30,001
  6. Step 6: Final answer
    x = 143,659.29

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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.