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Finding the Third Proportional to 305,644 and 663,836

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Solution

The third proportional to 305,644 and 663,836 is: 1,441,802.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,644 : 663,836 = 663,836 : x
  2. Step 2: Convert to fraction form
    305,644/663,836 = 663,836/x
  3. Step 3: Cross multiply
    305,644x = 663,836 × 663,836
  4. Step 4: Simplify right side
    305,644x = 440,678,234,896
  5. Step 5: Solve for x
    x = 440,678,234,896/305,644
  6. Step 6: Final answer
    x = 1,441,802.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.