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Finding the Third Proportional to 322,112 and 685,708

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Solution

The third proportional to 322,112 and 685,708 is: 1,459,726.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,112 : 685,708 = 685,708 : x
  2. Step 2: Convert to fraction form
    322,112/685,708 = 685,708/x
  3. Step 3: Cross multiply
    322,112x = 685,708 × 685,708
  4. Step 4: Simplify right side
    322,112x = 470,195,461,264
  5. Step 5: Solve for x
    x = 470,195,461,264/322,112
  6. Step 6: Final answer
    x = 1,459,726.62

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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.