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Finding the Third Proportional to 221,649 and 470,979

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Solution

The third proportional to 221,649 and 470,979 is: 1,000,776.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,649 : 470,979 = 470,979 : x
  2. Step 2: Convert to fraction form
    221,649/470,979 = 470,979/x
  3. Step 3: Cross multiply
    221,649x = 470,979 × 470,979
  4. Step 4: Simplify right side
    221,649x = 221,821,218,441
  5. Step 5: Solve for x
    x = 221,821,218,441/221,649
  6. Step 6: Final answer
    x = 1,000,776.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.