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Finding the Third Proportional to 323,250 and 685,902

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Solution

The third proportional to 323,250 and 685,902 is: 1,455,410.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,250 : 685,902 = 685,902 : x
  2. Step 2: Convert to fraction form
    323,250/685,902 = 685,902/x
  3. Step 3: Cross multiply
    323,250x = 685,902 × 685,902
  4. Step 4: Simplify right side
    323,250x = 470,461,553,604
  5. Step 5: Solve for x
    x = 470,461,553,604/323,250
  6. Step 6: Final answer
    x = 1,455,410.84

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.