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Finding the Third Proportional to 308,421 and 483,932

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Solution

The third proportional to 308,421 and 483,932 is: 759,319.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,421 : 483,932 = 483,932 : x
  2. Step 2: Convert to fraction form
    308,421/483,932 = 483,932/x
  3. Step 3: Cross multiply
    308,421x = 483,932 × 483,932
  4. Step 4: Simplify right side
    308,421x = 234,190,180,624
  5. Step 5: Solve for x
    x = 234,190,180,624/308,421
  6. Step 6: Final answer
    x = 759,319.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.