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Finding the Third Proportional to 221,964 and 479,400

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Solution

The third proportional to 221,964 and 479,400 is: 1,035,412.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,964 : 479,400 = 479,400 : x
  2. Step 2: Convert to fraction form
    221,964/479,400 = 479,400/x
  3. Step 3: Cross multiply
    221,964x = 479,400 × 479,400
  4. Step 4: Simplify right side
    221,964x = 229,824,360,000
  5. Step 5: Solve for x
    x = 229,824,360,000/221,964
  6. Step 6: Final answer
    x = 1,035,412.77

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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.