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Finding the Third Proportional to 221,125 and 483,620

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Solution

The third proportional to 221,125 and 483,620 is: 1,057,719.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,125 : 483,620 = 483,620 : x
  2. Step 2: Convert to fraction form
    221,125/483,620 = 483,620/x
  3. Step 3: Cross multiply
    221,125x = 483,620 × 483,620
  4. Step 4: Simplify right side
    221,125x = 233,888,304,400
  5. Step 5: Solve for x
    x = 233,888,304,400/221,125
  6. Step 6: Final answer
    x = 1,057,719.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.