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Finding the Third Proportional to 305,660 and 663,833

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Solution

The third proportional to 305,660 and 663,833 is: 1,441,713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,660 : 663,833 = 663,833 : x
  2. Step 2: Convert to fraction form
    305,660/663,833 = 663,833/x
  3. Step 3: Cross multiply
    305,660x = 663,833 × 663,833
  4. Step 4: Simplify right side
    305,660x = 440,674,251,889
  5. Step 5: Solve for x
    x = 440,674,251,889/305,660
  6. Step 6: Final answer
    x = 1,441,713.84

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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.