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Finding the Third Proportional to 202,236 and 440,341

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Solution

The third proportional to 202,236 and 440,341 is: 958,781.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,236 : 440,341 = 440,341 : x
  2. Step 2: Convert to fraction form
    202,236/440,341 = 440,341/x
  3. Step 3: Cross multiply
    202,236x = 440,341 × 440,341
  4. Step 4: Simplify right side
    202,236x = 193,900,196,281
  5. Step 5: Solve for x
    x = 193,900,196,281/202,236
  6. Step 6: Final answer
    x = 958,781.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.