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Finding the Third Proportional to 207,443 and 320,380

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Solution

The third proportional to 207,443 and 320,380 is: 494,802.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,443 : 320,380 = 320,380 : x
  2. Step 2: Convert to fraction form
    207,443/320,380 = 320,380/x
  3. Step 3: Cross multiply
    207,443x = 320,380 × 320,380
  4. Step 4: Simplify right side
    207,443x = 102,643,344,400
  5. Step 5: Solve for x
    x = 102,643,344,400/207,443
  6. Step 6: Final answer
    x = 494,802.64

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.