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Finding the Third Proportional to 284,978 and 626,836

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Solution

The third proportional to 284,978 and 626,836 is: 1,378,784.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,978 : 626,836 = 626,836 : x
  2. Step 2: Convert to fraction form
    284,978/626,836 = 626,836/x
  3. Step 3: Cross multiply
    284,978x = 626,836 × 626,836
  4. Step 4: Simplify right side
    284,978x = 392,923,370,896
  5. Step 5: Solve for x
    x = 392,923,370,896/284,978
  6. Step 6: Final answer
    x = 1,378,784.93

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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.