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Finding the Third Proportional to 201,636 and 297,856

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Solution

The third proportional to 201,636 and 297,856 is: 439,991.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,636 : 297,856 = 297,856 : x
  2. Step 2: Convert to fraction form
    201,636/297,856 = 297,856/x
  3. Step 3: Cross multiply
    201,636x = 297,856 × 297,856
  4. Step 4: Simplify right side
    201,636x = 88,718,196,736
  5. Step 5: Solve for x
    x = 88,718,196,736/201,636
  6. Step 6: Final answer
    x = 439,991.85

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.