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Finding the Third Proportional to 201,235 and 415,228

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Solution

The third proportional to 201,235 and 415,228 is: 856,780.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,235 : 415,228 = 415,228 : x
  2. Step 2: Convert to fraction form
    201,235/415,228 = 415,228/x
  3. Step 3: Cross multiply
    201,235x = 415,228 × 415,228
  4. Step 4: Simplify right side
    201,235x = 172,414,291,984
  5. Step 5: Solve for x
    x = 172,414,291,984/201,235
  6. Step 6: Final answer
    x = 856,780.84

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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.