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Finding the Third Proportional to 305,107 and 663,727

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Solution

The third proportional to 305,107 and 663,727 is: 1,443,865.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,107 : 663,727 = 663,727 : x
  2. Step 2: Convert to fraction form
    305,107/663,727 = 663,727/x
  3. Step 3: Cross multiply
    305,107x = 663,727 × 663,727
  4. Step 4: Simplify right side
    305,107x = 440,533,530,529
  5. Step 5: Solve for x
    x = 440,533,530,529/305,107
  6. Step 6: Final answer
    x = 1,443,865.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.