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Finding the Third Proportional to 318,360 and 481,639

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Solution

The third proportional to 318,360 and 481,639 is: 728,659.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,360 : 481,639 = 481,639 : x
  2. Step 2: Convert to fraction form
    318,360/481,639 = 481,639/x
  3. Step 3: Cross multiply
    318,360x = 481,639 × 481,639
  4. Step 4: Simplify right side
    318,360x = 231,976,126,321
  5. Step 5: Solve for x
    x = 231,976,126,321/318,360
  6. Step 6: Final answer
    x = 728,659.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.