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Finding the Third Proportional to 321,976.31 and 699,262.13

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Solution

The third proportional to 321,976.31 and 699,262.13 is: 1,518,644.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,976.31 : 699,262.13 = 699,262.13 : x
  2. Step 2: Convert to fraction form
    321,976.31/699,262.13 = 699,262.13/x
  3. Step 3: Cross multiply
    321,976.31x = 699,262.13 × 699,262.13
  4. Step 4: Simplify right side
    321,976.31x = 488,967,519,459.52
  5. Step 5: Solve for x
    x = 488,967,519,459.52/321,976.31
  6. Step 6: Final answer
    x = 1,518,644.39

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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.