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Finding the Third Proportional to 322,149 and 685,770

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Solution

The third proportional to 322,149 and 685,770 is: 1,459,822.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,149 : 685,770 = 685,770 : x
  2. Step 2: Convert to fraction form
    322,149/685,770 = 685,770/x
  3. Step 3: Cross multiply
    322,149x = 685,770 × 685,770
  4. Step 4: Simplify right side
    322,149x = 470,280,492,900
  5. Step 5: Solve for x
    x = 470,280,492,900/322,149
  6. Step 6: Final answer
    x = 1,459,822.92

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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.