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Finding the Third Proportional to 306,802 and 672,644

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Solution

The third proportional to 306,802 and 672,644 is: 1,474,729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,802 : 672,644 = 672,644 : x
  2. Step 2: Convert to fraction form
    306,802/672,644 = 672,644/x
  3. Step 3: Cross multiply
    306,802x = 672,644 × 672,644
  4. Step 4: Simplify right side
    306,802x = 452,449,950,736
  5. Step 5: Solve for x
    x = 452,449,950,736/306,802
  6. Step 6: Final answer
    x = 1,474,729.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.