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Finding the Third Proportional to 221,555 and 483,210

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Solution

The third proportional to 221,555 and 483,210 is: 1,053,877.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,555 : 483,210 = 483,210 : x
  2. Step 2: Convert to fraction form
    221,555/483,210 = 483,210/x
  3. Step 3: Cross multiply
    221,555x = 483,210 × 483,210
  4. Step 4: Simplify right side
    221,555x = 233,491,904,100
  5. Step 5: Solve for x
    x = 233,491,904,100/221,555
  6. Step 6: Final answer
    x = 1,053,877.84

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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.