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Finding the Third Proportional to 421,256 and 902,544

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Solution

The third proportional to 421,256 and 902,544 is: 1,933,706.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,256 : 902,544 = 902,544 : x
  2. Step 2: Convert to fraction form
    421,256/902,544 = 902,544/x
  3. Step 3: Cross multiply
    421,256x = 902,544 × 902,544
  4. Step 4: Simplify right side
    421,256x = 814,585,671,936
  5. Step 5: Solve for x
    x = 814,585,671,936/421,256
  6. Step 6: Final answer
    x = 1,933,706.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.