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Finding the Third Proportional to 308,403 and 672,714

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Solution

The third proportional to 308,403 and 672,714 is: 1,467,379.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,403 : 672,714 = 672,714 : x
  2. Step 2: Convert to fraction form
    308,403/672,714 = 672,714/x
  3. Step 3: Cross multiply
    308,403x = 672,714 × 672,714
  4. Step 4: Simplify right side
    308,403x = 452,544,125,796
  5. Step 5: Solve for x
    x = 452,544,125,796/308,403
  6. Step 6: Final answer
    x = 1,467,379.13

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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.