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Finding the Third Proportional to 219,298 and 480,477

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Solution

The third proportional to 219,298 and 480,477 is: 1,052,714.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,298 : 480,477 = 480,477 : x
  2. Step 2: Convert to fraction form
    219,298/480,477 = 480,477/x
  3. Step 3: Cross multiply
    219,298x = 480,477 × 480,477
  4. Step 4: Simplify right side
    219,298x = 230,858,147,529
  5. Step 5: Solve for x
    x = 230,858,147,529/219,298
  6. Step 6: Final answer
    x = 1,052,714.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.