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Finding the Third Proportional to 202,256 and 435,520

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Solution

The third proportional to 202,256 and 435,520 is: 937,809.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,256 : 435,520 = 435,520 : x
  2. Step 2: Convert to fraction form
    202,256/435,520 = 435,520/x
  3. Step 3: Cross multiply
    202,256x = 435,520 × 435,520
  4. Step 4: Simplify right side
    202,256x = 189,677,670,400
  5. Step 5: Solve for x
    x = 189,677,670,400/202,256
  6. Step 6: Final answer
    x = 937,809.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.