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Finding the Third Proportional to 221,984 and 479,489.75

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Solution

The third proportional to 221,984 and 479,489.75 is: 1,035,707.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,984 : 479,489.75 = 479,489.75 : x
  2. Step 2: Convert to fraction form
    221,984/479,489.75 = 479,489.75/x
  3. Step 3: Cross multiply
    221,984x = 479,489.75 × 479,489.75
  4. Step 4: Simplify right side
    221,984x = 229,910,420,355.06
  5. Step 5: Solve for x
    x = 229,910,420,355.06/221,984
  6. Step 6: Final answer
    x = 1,035,707.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.