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Finding the Third Proportional to 307,800 and 672,480

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Solution

The third proportional to 307,800 and 672,480 is: 1,469,231.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,800 : 672,480 = 672,480 : x
  2. Step 2: Convert to fraction form
    307,800/672,480 = 672,480/x
  3. Step 3: Cross multiply
    307,800x = 672,480 × 672,480
  4. Step 4: Simplify right side
    307,800x = 452,229,350,400
  5. Step 5: Solve for x
    x = 452,229,350,400/307,800
  6. Step 6: Final answer
    x = 1,469,231.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.