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Finding the Third Proportional to 221,564 and 483,228

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Solution

The third proportional to 221,564 and 483,228 is: 1,053,913.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,564 : 483,228 = 483,228 : x
  2. Step 2: Convert to fraction form
    221,564/483,228 = 483,228/x
  3. Step 3: Cross multiply
    221,564x = 483,228 × 483,228
  4. Step 4: Simplify right side
    221,564x = 233,509,299,984
  5. Step 5: Solve for x
    x = 233,509,299,984/221,564
  6. Step 6: Final answer
    x = 1,053,913.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.