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Finding the Third Proportional to 320,608 and 684,101

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Solution

The third proportional to 320,608 and 684,101 is: 1,459,708.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,608 : 684,101 = 684,101 : x
  2. Step 2: Convert to fraction form
    320,608/684,101 = 684,101/x
  3. Step 3: Cross multiply
    320,608x = 684,101 × 684,101
  4. Step 4: Simplify right side
    320,608x = 467,994,178,201
  5. Step 5: Solve for x
    x = 467,994,178,201/320,608
  6. Step 6: Final answer
    x = 1,459,708.36

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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.