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Finding the Third Proportional to 221,605 and 483,291

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Solution

The third proportional to 221,605 and 483,291 is: 1,053,993.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,605 : 483,291 = 483,291 : x
  2. Step 2: Convert to fraction form
    221,605/483,291 = 483,291/x
  3. Step 3: Cross multiply
    221,605x = 483,291 × 483,291
  4. Step 4: Simplify right side
    221,605x = 233,570,190,681
  5. Step 5: Solve for x
    x = 233,570,190,681/221,605
  6. Step 6: Final answer
    x = 1,053,993.32

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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.