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Finding the Third Proportional to 284,795 and 626,434

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Solution

The third proportional to 284,795 and 626,434 is: 1,377,901.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,795 : 626,434 = 626,434 : x
  2. Step 2: Convert to fraction form
    284,795/626,434 = 626,434/x
  3. Step 3: Cross multiply
    284,795x = 626,434 × 626,434
  4. Step 4: Simplify right side
    284,795x = 392,419,556,356
  5. Step 5: Solve for x
    x = 392,419,556,356/284,795
  6. Step 6: Final answer
    x = 1,377,901.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.