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Finding the Third Proportional to 320,178 and 481,118

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Solution

The third proportional to 320,178 and 481,118 is: 722,955.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,178 : 481,118 = 481,118 : x
  2. Step 2: Convert to fraction form
    320,178/481,118 = 481,118/x
  3. Step 3: Cross multiply
    320,178x = 481,118 × 481,118
  4. Step 4: Simplify right side
    320,178x = 231,474,529,924
  5. Step 5: Solve for x
    x = 231,474,529,924/320,178
  6. Step 6: Final answer
    x = 722,955.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.