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Finding the Third Proportional to 320,372 and 480,558

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Solution

The third proportional to 320,372 and 480,558 is: 720,837

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,372 : 480,558 = 480,558 : x
  2. Step 2: Convert to fraction form
    320,372/480,558 = 480,558/x
  3. Step 3: Cross multiply
    320,372x = 480,558 × 480,558
  4. Step 4: Simplify right side
    320,372x = 230,935,991,364
  5. Step 5: Solve for x
    x = 230,935,991,364/320,372
  6. Step 6: Final answer
    x = 720,837

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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.