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Finding the Third Proportional to 221,561 and 483,222

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Solution

The third proportional to 221,561 and 483,222 is: 1,053,901.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,561 : 483,222 = 483,222 : x
  2. Step 2: Convert to fraction form
    221,561/483,222 = 483,222/x
  3. Step 3: Cross multiply
    221,561x = 483,222 × 483,222
  4. Step 4: Simplify right side
    221,561x = 233,503,501,284
  5. Step 5: Solve for x
    x = 233,503,501,284/221,561
  6. Step 6: Final answer
    x = 1,053,901.64

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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.