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Finding the Third Proportional to 221,328 and 474,909

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Solution

The third proportional to 221,328 and 474,909 is: 1,019,024.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,328 : 474,909 = 474,909 : x
  2. Step 2: Convert to fraction form
    221,328/474,909 = 474,909/x
  3. Step 3: Cross multiply
    221,328x = 474,909 × 474,909
  4. Step 4: Simplify right side
    221,328x = 225,538,558,281
  5. Step 5: Solve for x
    x = 225,538,558,281/221,328
  6. Step 6: Final answer
    x = 1,019,024.07

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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.