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Finding the Third Proportional to 357,204 and 486,443

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Solution

The third proportional to 357,204 and 486,443 is: 662,441.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,204 : 486,443 = 486,443 : x
  2. Step 2: Convert to fraction form
    357,204/486,443 = 486,443/x
  3. Step 3: Cross multiply
    357,204x = 486,443 × 486,443
  4. Step 4: Simplify right side
    357,204x = 236,626,792,249
  5. Step 5: Solve for x
    x = 236,626,792,249/357,204
  6. Step 6: Final answer
    x = 662,441.61

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.