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Finding the Third Proportional to 219,489 and 480,855

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Solution

The third proportional to 219,489 and 480,855 is: 1,053,453.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,489 : 480,855 = 480,855 : x
  2. Step 2: Convert to fraction form
    219,489/480,855 = 480,855/x
  3. Step 3: Cross multiply
    219,489x = 480,855 × 480,855
  4. Step 4: Simplify right side
    219,489x = 231,221,531,025
  5. Step 5: Solve for x
    x = 231,221,531,025/219,489
  6. Step 6: Final answer
    x = 1,053,453.85

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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.