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Finding the Third Proportional to 322,151 and 685,774

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Solution

The third proportional to 322,151 and 685,774 is: 1,459,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,151 : 685,774 = 685,774 : x
  2. Step 2: Convert to fraction form
    322,151/685,774 = 685,774/x
  3. Step 3: Cross multiply
    322,151x = 685,774 × 685,774
  4. Step 4: Simplify right side
    322,151x = 470,285,979,076
  5. Step 5: Solve for x
    x = 470,285,979,076/322,151
  6. Step 6: Final answer
    x = 1,459,830.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.