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Finding the Third Proportional to 221,548 and 483,196

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Solution

The third proportional to 221,548 and 483,196 is: 1,053,850.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,548 : 483,196 = 483,196 : x
  2. Step 2: Convert to fraction form
    221,548/483,196 = 483,196/x
  3. Step 3: Cross multiply
    221,548x = 483,196 × 483,196
  4. Step 4: Simplify right side
    221,548x = 233,478,374,416
  5. Step 5: Solve for x
    x = 233,478,374,416/221,548
  6. Step 6: Final answer
    x = 1,053,850.07

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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.