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Finding the Third Proportional to 320,247 and 689,976

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Solution

The third proportional to 320,247 and 689,976 is: 1,486,561.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,247 : 689,976 = 689,976 : x
  2. Step 2: Convert to fraction form
    320,247/689,976 = 689,976/x
  3. Step 3: Cross multiply
    320,247x = 689,976 × 689,976
  4. Step 4: Simplify right side
    320,247x = 476,066,880,576
  5. Step 5: Solve for x
    x = 476,066,880,576/320,247
  6. Step 6: Final answer
    x = 1,486,561.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.