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Finding the Third Proportional to 307,680 and 467,296

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Solution

The third proportional to 307,680 and 467,296 is: 709,716.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,680 : 467,296 = 467,296 : x
  2. Step 2: Convert to fraction form
    307,680/467,296 = 467,296/x
  3. Step 3: Cross multiply
    307,680x = 467,296 × 467,296
  4. Step 4: Simplify right side
    307,680x = 218,365,551,616
  5. Step 5: Solve for x
    x = 218,365,551,616/307,680
  6. Step 6: Final answer
    x = 709,716.43

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.