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Finding the Third Proportional to 129,500 and 200,001

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Solution

The third proportional to 129,500 and 200,001 is: 308,883.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,500 : 200,001 = 200,001 : x
  2. Step 2: Convert to fraction form
    129,500/200,001 = 200,001/x
  3. Step 3: Cross multiply
    129,500x = 200,001 × 200,001
  4. Step 4: Simplify right side
    129,500x = 40,000,400,001
  5. Step 5: Solve for x
    x = 40,000,400,001/129,500
  6. Step 6: Final answer
    x = 308,883.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.