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Finding the Third Proportional to 219,556 and 472,400

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Solution

The third proportional to 219,556 and 472,400 is: 1,016,422.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,556 : 472,400 = 472,400 : x
  2. Step 2: Convert to fraction form
    219,556/472,400 = 472,400/x
  3. Step 3: Cross multiply
    219,556x = 472,400 × 472,400
  4. Step 4: Simplify right side
    219,556x = 223,161,760,000
  5. Step 5: Solve for x
    x = 223,161,760,000/219,556
  6. Step 6: Final answer
    x = 1,016,422.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.