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Finding the Third Proportional to 201,420 and 415,800

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Solution

The third proportional to 201,420 and 415,800 is: 858,353.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,420 : 415,800 = 415,800 : x
  2. Step 2: Convert to fraction form
    201,420/415,800 = 415,800/x
  3. Step 3: Cross multiply
    201,420x = 415,800 × 415,800
  4. Step 4: Simplify right side
    201,420x = 172,889,640,000
  5. Step 5: Solve for x
    x = 172,889,640,000/201,420
  6. Step 6: Final answer
    x = 858,353.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.