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Finding the Third Proportional to 221,712.75 and 486,344.25

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Solution

The third proportional to 221,712.75 and 486,344.25 is: 1,066,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,712.75 : 486,344.25 = 486,344.25 : x
  2. Step 2: Convert to fraction form
    221,712.75/486,344.25 = 486,344.25/x
  3. Step 3: Cross multiply
    221,712.75x = 486,344.25 × 486,344.25
  4. Step 4: Simplify right side
    221,712.75x = 236,530,729,508.06
  5. Step 5: Solve for x
    x = 236,530,729,508.06/221,712.75
  6. Step 6: Final answer
    x = 1,066,834.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.