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Finding the Third Proportional to 221,558 and 483,216

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Solution

The third proportional to 221,558 and 483,216 is: 1,053,889.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,558 : 483,216 = 483,216 : x
  2. Step 2: Convert to fraction form
    221,558/483,216 = 483,216/x
  3. Step 3: Cross multiply
    221,558x = 483,216 × 483,216
  4. Step 4: Simplify right side
    221,558x = 233,497,702,656
  5. Step 5: Solve for x
    x = 233,497,702,656/221,558
  6. Step 6: Final answer
    x = 1,053,889.74

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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.