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Finding the Third Proportional to 402,272 and 855,936

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Solution

The third proportional to 402,272 and 855,936 is: 1,821,221.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,272 : 855,936 = 855,936 : x
  2. Step 2: Convert to fraction form
    402,272/855,936 = 855,936/x
  3. Step 3: Cross multiply
    402,272x = 855,936 × 855,936
  4. Step 4: Simplify right side
    402,272x = 732,626,436,096
  5. Step 5: Solve for x
    x = 732,626,436,096/402,272
  6. Step 6: Final answer
    x = 1,821,221.55

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.