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Finding the Third Proportional to 221,820 and 476,814

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Solution

The third proportional to 221,820 and 476,814 is: 1,024,937.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,820 : 476,814 = 476,814 : x
  2. Step 2: Convert to fraction form
    221,820/476,814 = 476,814/x
  3. Step 3: Cross multiply
    221,820x = 476,814 × 476,814
  4. Step 4: Simplify right side
    221,820x = 227,351,590,596
  5. Step 5: Solve for x
    x = 227,351,590,596/221,820
  6. Step 6: Final answer
    x = 1,024,937.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.