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Finding the Third Proportional to 221,433.75 and 486,334.13

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Solution

The third proportional to 221,433.75 and 486,334.13 is: 1,068,133.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,433.75 : 486,334.13 = 486,334.13 : x
  2. Step 2: Convert to fraction form
    221,433.75/486,334.13 = 486,334.13/x
  3. Step 3: Cross multiply
    221,433.75x = 486,334.13 × 486,334.13
  4. Step 4: Simplify right side
    221,433.75x = 236,520,881,139.52
  5. Step 5: Solve for x
    x = 236,520,881,139.52/221,433.75
  6. Step 6: Final answer
    x = 1,068,133.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.